Solve −2(4−n)=24

Question

(1 point)
Responses

8
8

16
16

−16
negative 16

−8

Answer 1

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

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

2. Add \(8\) to both sides of the equation: \[ 2n = 24 + 8 \] Which simplifies to: \[ 2n = 32 \]

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

So, the solution is \(n = 16\).

The correct response is: 16