-[3z-(9z+6)]=6+(5z+7)

Solution for -[3z-(9z+6)]=6+(5z+7) equation:

Simplifying
-1[3z + -1(9z + 6)] = 6 + (5z + 7)

Reorder the terms:
-1[3z + -1(6 + 9z)] = 6 + (5z + 7)
-1[3z + (6 * -1 + 9z * -1)] = 6 + (5z + 7)
-1[3z + (-6 + -9z)] = 6 + (5z + 7)

Reorder the terms:
-1[-6 + 3z + -9z] = 6 + (5z + 7)

Combine like terms: 3z + -9z = -6z
-1[-6 + -6z] = 6 + (5z + 7)
[-6 * -1 + -6z * -1] = 6 + (5z + 7)
[6 + 6z] = 6 + (5z + 7)

Reorder the terms:
6 + 6z = 6 + (7 + 5z)

Remove parenthesis around (7 + 5z)
6 + 6z = 6 + 7 + 5z

Combine like terms: 6 + 7 = 13
6 + 6z = 13 + 5z

Solving
6 + 6z = 13 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
6 + 6z + -5z = 13 + 5z + -5z

Combine like terms: 6z + -5z = 1z
6 + 1z = 13 + 5z + -5z

Combine like terms: 5z + -5z = 0
6 + 1z = 13 + 0
6 + 1z = 13

Add '-6' to each side of the equation.
6 + -6 + 1z = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 13 + -6
1z = 13 + -6

Combine like terms: 13 + -6 = 7
1z = 7

Divide each side by '1'.
z = 7

Simplifying
z = 7