Solve −2(4−n)=24

Question

(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.