Answer:
q = [tex]\frac{6+3p}{5}[/tex]
Step-by-step explanation:
[tex]\frac{5(q+p)}{2}[/tex] = 3 + 4p ( multiply through by 2 to clear the fraction )
5(p + q) = 6 + 8p ← distribute parenthesis on left side )
5p + 5q = 6 + 8p ( subtract 5p from both sides )
5q = 6 + 3p ( divide both sides by 5 )
q = [tex]\frac{6+3p}{5}[/tex]