Consider this equation:

Question

−2(4+n)=24

Correctly order the steps used to solve this equation.

Answer 1

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

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

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

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

So, the steps taken are:

1. Distribute \(-2\).
2. Add \(8\) to both sides.
3. Divide by \(-2\).