6(3k-7)=-114

Solution for 6(3k-7)=-114 equation:

Simplifying
6(3k + -7) = -114

Reorder the terms:
6(-7 + 3k) = -114
(-7 * 6 + 3k * 6) = -114
(-42 + 18k) = -114

Solving
-42 + 18k = -114

Solving for variable 'k'.

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

Add '42' to each side of the equation.
-42 + 42 + 18k = -114 + 42

Combine like terms: -42 + 42 = 0
0 + 18k = -114 + 42
18k = -114 + 42

Combine like terms: -114 + 42 = -72
18k = -72

Divide each side by '18'.
k = -4

Simplifying
k = -4