2(2z+1)-6=32

Solution for 2(2z+1)-6=32 equation:

Simplifying
2(2z + 1) + -6 = 32

Reorder the terms:
2(1 + 2z) + -6 = 32
(1 * 2 + 2z * 2) + -6 = 32
(2 + 4z) + -6 = 32

Reorder the terms:
2 + -6 + 4z = 32

Combine like terms: 2 + -6 = -4
-4 + 4z = 32

Solving
-4 + 4z = 32

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + 4z = 32 + 4

Combine like terms: -4 + 4 = 0
0 + 4z = 32 + 4
4z = 32 + 4

Combine like terms: 32 + 4 = 36
4z = 36

Divide each side by '4'.
z = 9

Simplifying
z = 9