Question

−2(4+n)=24

Correctly order the steps used to solve this equation.

Answer 1

To solve the equation \(-2(4+n)=24\), we can follow these steps in the correct order:

1. **Distribute** the \(-2\) on the left side:
\[
-2 \cdot 4 - 2 \cdot n = 24 \quad \Rightarrow \quad -8 - 2n = 24
\]

2. **Add 8** to both sides to isolate the term with \(n\):
\[
-2n = 24 + 8 \quad \Rightarrow \quad -2n = 32
\]

3. **Divide** both sides by \(-2\) to solve for \(n\):
\[
n = \frac{32}{-2} \quad \Rightarrow \quad n = -16
\]

Putting it all together, the correct order of the steps is:
1. Distribute the \(-2\).
2. Add \(8\) to both sides.
3. Divide by \(-2\).

Thus, the solution is \(n = -16\).