Question

Solve −2(4−n)=24
(1 point)
Responses

−8
negative 8

8
8

−16
negative 16

16
16

Answer 1

To solve the equation \(-2(4-n) = 24\), follow these steps:

1. Distribute \(-2\) on the left side:
\[
-2 \cdot 4 + 2n = 24
\]
This simplifies to:
\[
-8 + 2n = 24
\]

2. Add \(8\) to both sides to isolate \(2n\):
\[
2n = 24 + 8
\]
Simplifying gives:
\[
2n = 32
\]

3. Divide both sides by \(2\):
\[
n = \frac{32}{2} = 16
\]

So, the solution is \(n = 16\).

The correct response is:
**16**.