Answer :

To solve the equation [tex]\(8w = -32\)[/tex] for [tex]\(w\)[/tex], you can follow these steps:

1. Isolate [tex]\(w\)[/tex]:
The equation is given as:
[tex]\[ 8w = -32 \][/tex]
To solve for [tex]\(w\)[/tex], you need to isolate [tex]\(w\)[/tex] on one side of the equation. You do this by performing the same operation on both sides of the equation.

2. Divide both sides by 8:
In this case, you divide both sides of the equation by 8:
[tex]\[ \frac{8w}{8} = \frac{-32}{8} \][/tex]

3. Simplify:
When you simplify, you get:
[tex]\[ w = -4 \][/tex]

Therefore, the solution to the equation [tex]\(8w = -32\)[/tex] is:
[tex]\[ w = -4 \][/tex]