-[4z-(12z+6)]=6+(7z+9)

Solution for -[4z-(12z+6)]=6+(7z+9) equation:

Simplifying
-1[4z + -1(12z + 6)] = 6 + (7z + 9)

Reorder the terms:
-1[4z + -1(6 + 12z)] = 6 + (7z + 9)
-1[4z + (6 * -1 + 12z * -1)] = 6 + (7z + 9)
-1[4z + (-6 + -12z)] = 6 + (7z + 9)

Reorder the terms:
-1[-6 + 4z + -12z] = 6 + (7z + 9)

Combine like terms: 4z + -12z = -8z
-1[-6 + -8z] = 6 + (7z + 9)
[-6 * -1 + -8z * -1] = 6 + (7z + 9)
[6 + 8z] = 6 + (7z + 9)

Reorder the terms:
6 + 8z = 6 + (9 + 7z)

Remove parenthesis around (9 + 7z)
6 + 8z = 6 + 9 + 7z

Combine like terms: 6 + 9 = 15
6 + 8z = 15 + 7z

Solving
6 + 8z = 15 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
6 + 8z + -7z = 15 + 7z + -7z

Combine like terms: 8z + -7z = 1z
6 + 1z = 15 + 7z + -7z

Combine like terms: 7z + -7z = 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