Solve for n.

Question

−2(4+n)=24

(1 point)
Responses

n = 16
n = 16

n = -8
n = -8

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: \[ -2 \cdot 4 - 2 \cdot n = -8 - 2n \] So, the equation becomes: \[ -8 - 2n = 24 \]

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

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

So the solution is: \[ \boxed{n = -16} \]