Solve for n.

Question

−2(4+n)=24

(1 point)
Responses

n = 16

n = -8

n = 8

n = -16

Answer 1

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

1. Distribute \(-2\) on the left side of the equation: \[ -2 \cdot 4 - 2 \cdot n = -8 - 2n \] So, the equation becomes: \[ -8 - 2n = 24 \]

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

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

Thus, the solution is: \[ n = -16 \]

The correct response is: n = -16