Consider this equation:

Question

−2(4+n)=24


Correctly order the steps used to solve this equation

Answer 1

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

1. Distribute the -2:
   \(-2 \cdot 4 - 2 \cdot n = 24\)
   which simplifies to:
   \(-8 - 2n = 24\)

2. Add 8 to both sides:
   \(-2n = 24 + 8\)
   \(-2n = 32\)

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

Thus, the correct order of steps is:

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

The solution is \(n = -16\).