Question

Solve −2(4−n)=24
(1 point)
Responses

16
16

8
8

−8
negative 8

−16
negative 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:
\[
2n = 24 + 8
\]
Simplifying this gives:
\[
2n = 32
\]

3. Now, divide both sides by \(2\):
\[
n = \frac{32}{2}
\]
Thus, we find:
\[
n = 16
\]

So, the solution is \(16\).