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

Solution for 12z-1(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 = 88
8z = 88

Divide each side by '8'.
z = 11

Simplifying
z = 11