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]
