6(z-86)=78

Solution for 6(z-86)=78 equation:

Simplifying
6(z + -86) = 78

Reorder the terms:
6(-86 + z) = 78
(-86 * 6 + z * 6) = 78
(-516 + 6z) = 78

Solving
-516 + 6z = 78

Solving for variable 'z'.

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

Add '516' to each side of the equation.
-516 + 516 + 6z = 78 + 516

Combine like terms: -516 + 516 = 0
0 + 6z = 78 + 516
6z = 78 + 516

Combine like terms: 78 + 516 = 594
6z = 594

Divide each side by '6'.
z = 99

Simplifying
z = 99