Step 1: Simplify both sides of the equation.
1/2 (6−z) = z
(1/2) (6) + (1/2) (-z) = z (distribute)
3 + -1/2z = z
-1/2z + 3 = z
Step 2: Subtract z from both sides.
-1/2z + 3 - z = z - z
-3/2z + 3 = 0
Step 3: Subtract 3 from both sides.
-3/2z + 3 - 3 = 0 - 3
-3/2z = -3
Step 4: Multiply both sides by 2/(-3).
(2/-3) * (-3/2z) = (2/-3) * (-3)
z = 2
Answer: z = 2
I hope this helps you!:) Sorry it took me so long!