-[3z-(6z+6)]=6+(2z+3)

Solution for -[3z-(6z+6)]=6+(2z+3) equation:

Simplifying
-1[3z + -1(6z + 6)] = 6 + (2z + 3)

Reorder the terms:
-1[3z + -1(6 + 6z)] = 6 + (2z + 3)
-1[3z + (6 * -1 + 6z * -1)] = 6 + (2z + 3)
-1[3z + (-6 + -6z)] = 6 + (2z + 3)

Reorder the terms:
-1[-6 + 3z + -6z] = 6 + (2z + 3)

Combine like terms: 3z + -6z = -3z
-1[-6 + -3z] = 6 + (2z + 3)
[-6 * -1 + -3z * -1] = 6 + (2z + 3)
[6 + 3z] = 6 + (2z + 3)

Reorder the terms:
6 + 3z = 6 + (3 + 2z)

Remove parenthesis around (3 + 2z)
6 + 3z = 6 + 3 + 2z

Combine like terms: 6 + 3 = 9
6 + 3z = 9 + 2z

Solving
6 + 3z = 9 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
6 + 3z + -2z = 9 + 2z + -2z

Combine like terms: 3z + -2z = 1z
6 + 1z = 9 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + 1z = 9 + 0
6 + 1z = 9

Add '-6' to each side of the equation.
6 + -6 + 1z = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 9 + -6
1z = 9 + -6

Combine like terms: 9 + -6 = 3
1z = 3

Divide each side by '1'.
z = 3

Simplifying
z = 3