−2(4+n)=24

Question

Correctly order the steps used to solve this equation.

Answer 1

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

1. Distribute the \(-2\) on the left side: \[ -2 \cdot 4 - 2 \cdot n = 24 \quad \Rightarrow \quad -8 - 2n = 24 \]

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

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

Putting it all together, the correct order of the steps is:

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

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