Answer:
g = [tex]\frac{7-3e}{4-9e}[/tex]
Step-by-step explanation:
Given
3e + 4g = 7 + 9eg ( subtract 9eg from both sides )
3e + 4g - 9eg = 7 ( subtract 3e from both sides )
4g - 9eg = 7 - 3e ← factor out g from each term on the left side
g(4 - 9e) = 7 - 3e ← divide both sides by (4 - 9e)
g = [tex]\frac{7-3e}{4-9e}[/tex]