Question

Problem solving with multi-step equations quick check grade 7A
Solve -2(4-n)=24
16
8
-16
-8

Answer 1

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

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

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

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

The solution is \(n = 16\).

Therefore, the answer is **16**.