Question

Solve −2(4−n)=24
(1 point)
Responses

8
8

−8
negative 8

−16
negative 16

16
16

Answer 1

To solve the equation \(-2(4 - n) = 24\), we can start by distributing the \(-2\) on the left side:

\[
-2 \cdot 4 + 2n = 24
\]

This simplifies to:

\[
-8 + 2n = 24
\]

Next, we add \(8\) to both sides of the equation:

\[
2n = 24 + 8
\]

This gives us:

\[
2n = 32
\]

Now, we divide both sides by \(2\):

\[
n = \frac{32}{2} = 16
\]

Thus, the solution is:

\[
\boxed{16}
\]