-[8z-(12z+6)]=6+(3z+7)

Solution for -[8z-(12z+6)]=6+(3z+7) equation:

Simplifying
-1[8z + -1(12z + 6)] = 6 + (3z + 7)

Reorder the terms:
-1[8z + -1(6 + 12z)] = 6 + (3z + 7)
-1[8z + (6 * -1 + 12z * -1)] = 6 + (3z + 7)
-1[8z + (-6 + -12z)] = 6 + (3z + 7)

Reorder the terms:
-1[-6 + 8z + -12z] = 6 + (3z + 7)

Combine like terms: 8z + -12z = -4z
-1[-6 + -4z] = 6 + (3z + 7)
[-6 * -1 + -4z * -1] = 6 + (3z + 7)
[6 + 4z] = 6 + (3z + 7)

Reorder the terms:
6 + 4z = 6 + (7 + 3z)

Remove parenthesis around (7 + 3z)
6 + 4z = 6 + 7 + 3z

Combine like terms: 6 + 7 = 13
6 + 4z = 13 + 3z

Solving
6 + 4z = 13 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
6 + 4z + -3z = 13 + 3z + -3z

Combine like terms: 4z + -3z = 1z
6 + 1z = 13 + 3z + -3z

Combine like terms: 3z + -3z = 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