6+3(2z-5)-3(4z+4)-6=

Solution for 6+3(2z-5)-3(4z+4)-6= equation:

Simplifying
6 + 3(2z + -5) + -3(4z + 4) + -6 = 0

Reorder the terms:
6 + 3(-5 + 2z) + -3(4z + 4) + -6 = 0
6 + (-5 * 3 + 2z * 3) + -3(4z + 4) + -6 = 0
6 + (-15 + 6z) + -3(4z + 4) + -6 = 0

Reorder the terms:
6 + -15 + 6z + -3(4 + 4z) + -6 = 0
6 + -15 + 6z + (4 * -3 + 4z * -3) + -6 = 0
6 + -15 + 6z + (-12 + -12z) + -6 = 0

Reorder the terms:
6 + -15 + -12 + -6 + 6z + -12z = 0

Combine like terms: 6 + -15 = -9
-9 + -12 + -6 + 6z + -12z = 0

Combine like terms: -9 + -12 = -21
-21 + -6 + 6z + -12z = 0

Combine like terms: -21 + -6 = -27
-27 + 6z + -12z = 0

Combine like terms: 6z + -12z = -6z
-27 + -6z = 0

Solving
-27 + -6z = 0

Solving for variable 'z'.

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

Add '27' to each side of the equation.
-27 + 27 + -6z = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -6z = 0 + 27
-6z = 0 + 27

Combine like terms: 0 + 27 = 27
-6z = 27

Divide each side by '-6'.
z = -4.5

Simplifying
z = -4.5