Answer:
z = [tex]\frac{2r}{2a+3}[/tex]
Step-by-step explanation:
given
r = az + [tex]\frac{3z}{2}[/tex] ( multiply through by 2 to clear the fraction )
2r = 2az + 3z ← factor out z from each term on the right side
2r = z(2a + 3) ← divide both sides by 2a + 3
[tex]\frac{2r}{2a+3}[/tex] = z
