Solve For W W W . − W + 222 = 74 -w + 222 = 74 − W + 222 = 74 W = W = W =

$$$$

Understanding the Equation

When solving for a variable in an equation, we need to isolate the variable on one side of the equation. In this case, we are given the equation $-w + 222 = 74$, and we need to solve for the variable $w$. To do this, we will use basic algebraic operations to isolate the variable.

Isolating the Variable

The first step in solving for $w$ is to isolate the variable on one side of the equation. In this case, the variable $w$ is being subtracted from 222, so we need to get rid of the 222 on the same side as the variable. We can do this by subtracting 222 from both sides of the equation.

Subtracting 222 from Both Sides

When we subtract 222 from both sides of the equation, we get:

$$-w + 222 - 222 = 74 - 222$$

This simplifies to:

$$-w = -148$$

Solving for $w$

Now that we have isolated the variable $w$ on one side of the equation, we can solve for $w$ by getting rid of the negative sign in front of the variable. We can do this by multiplying both sides of the equation by -1.

Multiplying Both Sides by -1

When we multiply both sides of the equation by -1, we get:

$$-1(-w) = -1(-148)$$

This simplifies to:

$$w = 148$$

Conclusion

In this article, we solved for the variable $w$ in the equation $-w + 222 = 74$. We isolated the variable on one side of the equation by subtracting 222 from both sides, and then we solved for $w$ by getting rid of the negative sign in front of the variable. The final solution is $w = 148$.

Step-by-Step Solution

Here is a step-by-step solution to the problem:

1. Start with the given equation: $-w + 222 = 74$
2. Subtract 222 from both sides of the equation: $-w + 222 - 222 = 74 - 222$
3. Simplify the equation: $-w = -148$
4. Multiply both sides of the equation by -1: $-1(-w) = -1(-148)$
5. Simplify the equation: $w = 148$

Frequently Asked Questions

• What is the value of $w$ in the equation $-w + 222 = 74$?
• How do I solve for $w$ in the equation $-w + 222 = 74$?
• What is the step-by-step solution to the problem?

Answer

• The value of $w$ in the equation $-w + 222 = 74$ is 148.
• To solve for $w$ in the equation $-w + 222 = 74$, you need to isolate the variable on one side of the equation by subtracting 222 from both sides, and then you need to get rid of the negative sign in front of the variable by multiplying both sides of the equation by -1.
• The step-by-step solution to the problem is as follows:

1. Start with the given equation: $-w + 222 = 74$
2. Subtract 222 from both sides of the equation: $-w + 222 - 222 = 74 - 222$
3. Simplify the equation: $-w = -148$
4. Multiply both sides of the equation by -1: $-1(-w) = -1(-148)$
5. Simplify the equation: $w = 148$
   

$$$$

Understanding the Equation

When solving for a variable in an equation, we need to isolate the variable on one side of the equation. In this case, we are given the equation $-w + 222 = 74$, and we need to solve for the variable $w$. To do this, we will use basic algebraic operations to isolate the variable.

Q&A

Q: What is the value of $w$ in the equation $-w + 222 = 74$?

A: The value of $w$ in the equation $-w + 222 = 74$ is 148.

Q: How do I solve for $w$ in the equation $-w + 222 = 74$?

A: To solve for $w$ in the equation $-w + 222 = 74$, you need to isolate the variable on one side of the equation by subtracting 222 from both sides, and then you need to get rid of the negative sign in front of the variable by multiplying both sides of the equation by -1.

Q: What is the step-by-step solution to the problem?

A: The step-by-step solution to the problem is as follows:

1. Start with the given equation: $-w + 222 = 74$
2. Subtract 222 from both sides of the equation: $-w + 222 - 222 = 74 - 222$
3. Simplify the equation: $-w = -148$
4. Multiply both sides of the equation by -1: $-1(-w) = -1(-148)$
5. Simplify the equation: $w = 148$

Q: What if I have a similar equation, but with a different coefficient in front of the variable?

A: If you have a similar equation, but with a different coefficient in front of the variable, you can still use the same steps to solve for the variable. For example, if you have the equation $-2w + 222 = 74$, you can still subtract 222 from both sides and then multiply both sides by -1 to solve for $w$.

Q: Can I use a calculator to solve for $w$?

A: Yes, you can use a calculator to solve for $w$. Simply enter the equation $-w + 222 = 74$ into the calculator and solve for $w$. The calculator will give you the value of $w$.

Q: What if I make a mistake while solving for $w$?

A: If you make a mistake while solving for $w$, don't worry! Simply go back to the previous step and try again. You can also use a calculator to check your work and make sure you got the correct answer.

Conclusion

In this article, we solved for the variable $w$ in the equation $-w + 222 = 74$. We also answered some common questions about solving for $w$ and provided a step-by-step solution to the problem. We hope this article has been helpful in understanding how to solve for variables in equations.

Frequently Asked Questions

• What is the value of $w$ in the equation $-w + 222 = 74$?
• How do I solve for $w$ in the equation $-w + 222 = 74$?
• What is the step-by-step solution to the problem?
• What if I have a similar equation, but with a different coefficient in front of the variable?
• Can I use a calculator to solve for $w$?
• What if I make a mistake while solving for $w$?

Answer

• The value of $w$ in the equation $-w + 222 = 74$ is 148.
• To solve for $w$ in the equation $-w + 222 = 74$, you need to isolate the variable on one side of the equation by subtracting 222 from both sides, and then you need to get rid of the negative sign in front of the variable by multiplying both sides of the equation by -1.
• The step-by-step solution to the problem is as follows:

1. Start with the given equation: $-w + 222 = 74$
2. Subtract 222 from both sides of the equation: $-w + 222 - 222 = 74 - 222$
3. Simplify the equation: $-w = -148$
4. Multiply both sides of the equation by -1: $-1(-w) = -1(-148)$
5. Simplify the equation: $w = 148$

• If you have a similar equation, but with a different coefficient in front of the variable, you can still use the same steps to solve for the variable.
• Yes, you can use a calculator to solve for $w$.
• If you make a mistake while solving for $w$, don't worry! Simply go back to the previous step and try again. You can also use a calculator to check your work and make sure you got the correct answer.