Answer:
w = - 3 only
Step-by-step explanation:
Given
[tex]\frac{7}{w+4}[/tex] = [tex]\frac{5}{w+4}[/tex] - [tex]\frac{6}{w}[/tex]
Note that w ≠ - 4, 0 as this would give division by 0
Multiply through by w(w + 4)
7w = 5w - 6(w + 4) ← distribute and simplify right side
7w = 5w - 6w - 24
7w = - w - 24 ( add w to both sides )
8w = - 24 ( divide both sides by 8 )
w = - 3
