2(3+6k)-3(3k+3)=-15

Solution for 2(3+6k)-3(3k+3)=-15 equation:

Simplifying
2(3 + 6k) + -3(3k + 3) = -15
(3 * 2 + 6k * 2) + -3(3k + 3) = -15
(6 + 12k) + -3(3k + 3) = -15

Reorder the terms:
6 + 12k + -3(3 + 3k) = -15
6 + 12k + (3 * -3 + 3k * -3) = -15
6 + 12k + (-9 + -9k) = -15

Reorder the terms:
6 + -9 + 12k + -9k = -15

Combine like terms: 6 + -9 = -3
-3 + 12k + -9k = -15

Combine like terms: 12k + -9k = 3k
-3 + 3k = -15

Solving
-3 + 3k = -15

Solving for variable 'k'.

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

Add '3' to each side of the equation.
-3 + 3 + 3k = -15 + 3

Combine like terms: -3 + 3 = 0
0 + 3k = -15 + 3
3k = -15 + 3

Combine like terms: -15 + 3 = -12
3k = -12

Divide each side by '3'.
k = -4

Simplifying
k = -4