12z-(4z-6)=82

Solution for 12z-(4z-6)=82 equation:

Simplifying
12z + -1(4z + -6) = 82

Reorder the terms:
12z + -1(-6 + 4z) = 82
12z + (-6 * -1 + 4z * -1) = 82
12z + (6 + -4z) = 82

Reorder the terms:
6 + 12z + -4z = 82

Combine like terms: 12z + -4z = 8z
6 + 8z = 82

Solving
6 + 8z = 82

Solving for variable 'z'.

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

Add '-6' to each side of the equation.
6 + -6 + 8z = 82 + -6

Combine like terms: 6 + -6 = 0
0 + 8z = 82 + -6
8z = 82 + -6

Combine like terms: 82 + -6 = 76
8z = 76

Divide each side by '8'.
z = 9.5

Simplifying
z = 9.5