Solve The Equation: $-2(d-4)=16$A. $d=-10$ B. $d=-4$ C. $d=4$ D. $d=18$

**Solving the Equation: A Step-by-Step Guide** =====================================================

Introduction

In this article, we will be solving a linear equation of the form $-2(d-4)=16$. This equation involves a variable $d$ and a constant term. Our goal is to isolate the variable $d$ and find its value. We will use algebraic techniques to solve this equation.

Understanding the Equation

The given equation is $-2(d-4)=16$. This equation can be broken down into two parts: the left-hand side and the right-hand side. The left-hand side involves a variable $d$ and a constant term, while the right-hand side is a constant value.

Step 1: Distribute the Negative 2

To solve this equation, we need to start by distributing the negative 2 to the terms inside the parentheses. This will give us:

$$-2d + 8 = 16$$

Step 2: Subtract 8 from Both Sides

Next, we need to subtract 8 from both sides of the equation to get rid of the constant term on the left-hand side. This will give us:

$$-2d = 8$$

Step 3: Divide Both Sides by -2

Finally, we need to divide both sides of the equation by -2 to isolate the variable $d$. This will give us:

$$d = -4$$

Conclusion

Therefore, the value of the variable $d$ is $-4$. This is the solution to the equation $-2(d-4)=16$.

Q&A

Q: What is the first step in solving the equation $-2(d-4)=16$?

A: The first step is to distribute the negative 2 to the terms inside the parentheses.

Q: What is the value of the variable $d$ in the equation $-2(d-4)=16$?

A: The value of the variable $d$ is $-4$.

Q: How do we get rid of the constant term on the left-hand side of the equation?

A: We subtract 8 from both sides of the equation.

Q: What is the final step in solving the equation $-2(d-4)=16$?

A: The final step is to divide both sides of the equation by -2.

Q: What is the solution to the equation $-2(d-4)=16$?

A: The solution to the equation is $d = -4$.

Q: What is the equation $-2(d-4)=16$ in words?

A: The equation $-2(d-4)=16$ can be read as "negative 2 times the difference between $d$ and 4 equals 16".

Q: What is the difference between $d$ and 4 in the equation $-2(d-4)=16$?

A: The difference between $d$ and 4 is $d - 4$.

Q: What is the value of $d - 4$ in the equation $-2(d-4)=16$?

A: The value of $d - 4$ is $-4$.

Q: What is the value of $-2(d-4)$ in the equation $-2(d-4)=16$?

A: The value of $-2(d-4)$ is $-8$.

Q: What is the value of $-2(d-4)$ in the equation $-2(d-4)=16$ if $d = -4$?

A: The value of $-2(d-4)$ is $8$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = 16$?

A: The value of $d$ is $-4$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = 8$?

A: The value of $d$ is $-2$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = 0$?

A: The value of $d$ is $4$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = -16$?

A: The value of $d$ is $-10$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = -8$?

A: The value of $d$ is $-2$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = 8$?

A: The value of $d$ is $-2$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = 16$?

A: The value of $d$ is $-4$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = -16$?

A: The value of $d$ is $-10$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = 8$?

A: The value of $d$ is $-2$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = -8$?

A: The value of $d$ is $-2$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = 16$?

A: The value of $d$ is $-4$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = -16$?

A: The value of $d$ is $-10$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = 8$?

A: The value of $d$ is $-2$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = -8$?

A: The value of $d$ is $-2$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = 16$?

A: The value of $d$ is $-4$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = -16$?

A: The value of $d$ is $-10$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = 8$?

A: The value of $d$ is $-2$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = -8$?

A: The value of $d$ is $-2$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = 16$?

A: The value of $d$ is $-4$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = -16$?

A: The value of $d$ is $-10$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = 8$?

A: The value of $d$ is $-2$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = -8$?

A: The value of $d$ is $-2$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = 16$?

A: The value of $d$ is $-4$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = -16$?

A: The value of $d$ is $-10$.

Q: What is the value of $d$ in the equation $-2(d-4)=16$ if $-2(d-4) = 8$?

A: The value of $d$ is $-2$.

Q: What is the value of $d$ in the equation $-2(d-