-[6z-(9z+6)]=6+(2z+9)

Solution for -[6z-(9z+6)]=6+(2z+9) equation:

Simplifying
-1[6z + -1(9z + 6)] = 6 + (2z + 9)

Reorder the terms:
-1[6z + -1(6 + 9z)] = 6 + (2z + 9)
-1[6z + (6 * -1 + 9z * -1)] = 6 + (2z + 9)
-1[6z + (-6 + -9z)] = 6 + (2z + 9)

Reorder the terms:
-1[-6 + 6z + -9z] = 6 + (2z + 9)

Combine like terms: 6z + -9z = -3z
-1[-6 + -3z] = 6 + (2z + 9)
[-6 * -1 + -3z * -1] = 6 + (2z + 9)
[6 + 3z] = 6 + (2z + 9)

Reorder the terms:
6 + 3z = 6 + (9 + 2z)

Remove parenthesis around (9 + 2z)
6 + 3z = 6 + 9 + 2z

Combine like terms: 6 + 9 = 15
6 + 3z = 15 + 2z

Solving
6 + 3z = 15 + 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 = 15 + 2z + -2z

Combine like terms: 3z + -2z = 1z
6 + 1z = 15 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + 1z = 15 + 0
6 + 1z = 15

Add '-6' to each side of the equation.
6 + -6 + 1z = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 15 + -6
1z = 15 + -6

Combine like terms: 15 + -6 = 9
1z = 9

Divide each side by '1'.
z = 9

Simplifying
z = 9