-6(1+3k)+3k=2(-3-6k)

Solution for -6(1+3k)+3k=2(-3-6k) equation:

Simplifying
-6(1 + 3k) + 3k = 2(-3 + -6k)
(1 * -6 + 3k * -6) + 3k = 2(-3 + -6k)
(-6 + -18k) + 3k = 2(-3 + -6k)

Combine like terms: -18k + 3k = -15k
-6 + -15k = 2(-3 + -6k)
-6 + -15k = (-3 * 2 + -6k * 2)
-6 + -15k = (-6 + -12k)

Add '6' to each side of the equation.
-6 + 6 + -15k = -6 + 6 + -12k

Combine like terms: -6 + 6 = 0
0 + -15k = -6 + 6 + -12k
-15k = -6 + 6 + -12k

Combine like terms: -6 + 6 = 0
-15k = 0 + -12k
-15k = -12k

Solving
-15k = -12k

Solving for variable 'k'.

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

Add '12k' to each side of the equation.
-15k + 12k = -12k + 12k

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

Combine like terms: -12k + 12k = 0
-3k = 0

Divide each side by '-3'.
k = 0

Simplifying
k = 0