Question

Solve −2(4−n)=24
(1 point)
Responses

8
8

16
16

−8
negative 8

−16

Answer 1

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

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

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

3. Divide by \(2\) to solve for \(n\):
\[
n = \frac{32}{2} = 16
\]

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

Therefore, the correct response is:
**16**