6(1+3k)-6k=-30

Solution for 6(1+3k)-6k=-30 equation:

Simplifying
6(1 + 3k) + -6k = -30
(1 * 6 + 3k * 6) + -6k = -30
(6 + 18k) + -6k = -30

Combine like terms: 18k + -6k = 12k
6 + 12k = -30

Solving
6 + 12k = -30

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 + 12k = -30 + -6

Combine like terms: 6 + -6 = 0
0 + 12k = -30 + -6
12k = -30 + -6

Combine like terms: -30 + -6 = -36
12k = -36

Divide each side by '12'.
k = -3

Simplifying
k = -3