Solve −2(4−n)=24

Question

(1 point)
Responses

8
8

16
16

−8
negative 8

−16

Answer 1

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

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

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

3. Divide by \(2\) to solve for \(n\): \[ n = \frac{32}{2} = 16 \]

Thus, the solution to the equation is \(n = 16\).

Therefore, the correct response is: 16