-6(k-1)=-114

Solution for -6(k-1)=-114 equation:

Simplifying
-6(k + -1) = -114

Reorder the terms:
-6(-1 + k) = -114
(-1 * -6 + k * -6) = -114
(6 + -6k) = -114

Solving
6 + -6k = -114

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -6 + -6k = -114 + -6

Combine like terms: 6 + -6 = 0
0 + -6k = -114 + -6
-6k = -114 + -6

Combine like terms: -114 + -6 = -120
-6k = -120

Divide each side by '-6'.
k = 20

Simplifying
k = 20