Problem solving with multi-step equations quick check grade 7A

Question

Solve -2(4-n)=24
16
8
-16
-8

Answer 1

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

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

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

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

The solution is \(n = 16\).

Therefore, the answer is 16.