6(1+3k)=-6k-18

Solution for 6(1+3k)=-6k-18 equation:

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

Reorder the terms:
6 + 18k = -18 + -6k

Solving
6 + 18k = -18 + -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
6 + 18k + 6k = -18 + -6k + 6k

Combine like terms: 18k + 6k = 24k
6 + 24k = -18 + -6k + 6k

Combine like terms: -6k + 6k = 0
6 + 24k = -18 + 0
6 + 24k = -18

Add '-6' to each side of the equation.
6 + -6 + 24k = -18 + -6

Combine like terms: 6 + -6 = 0
0 + 24k = -18 + -6
24k = -18 + -6

Combine like terms: -18 + -6 = -24
24k = -24

Divide each side by '24'.
k = -1

Simplifying
k = -1