Answer :

Let's solve the equation step by step:

Given:
[tex]\[ -8 + \frac{w}{4} = -8 \][/tex]

1. Start by isolating the term with the variable on one side of the equation. To do this, add 8 to both sides:
[tex]\[ -8 + \frac{w}{4} + 8 = -8 + 8 \][/tex]

2. Simplify both sides:
[tex]\[ \frac{w}{4} = 0 \][/tex]

3. To solve for [tex]\( w \)[/tex], multiply both sides of the equation by 4:
[tex]\[ 4 \cdot \frac{w}{4} = 0 \cdot 4 \][/tex]

4. Simplifying both sides will give:
[tex]\[ w = 0 \][/tex]

So, the solution to the equation [tex]\(-8 + \frac{w}{4} = -8\)[/tex] is:
[tex]\[ w = 0 \][/tex]