Hello!
[tex]\large\boxed{z = -3}[/tex]
1/2z + 6 = 3/2(z + 6)
Distribute the coefficient outside of the parenthesis:
1/2z + 6 = 3/2(z) + 3/2(6)
1/2z + 6 = 3/2z + 9
Subtract 1/2z from both sides:
6 = 2/2z + 9
Subtract 9 from both sides. Simplify 2/2z into z:
6 - 9 = z + 9 - 9
-3 = z
