3(2-6k)=-4(6k+6)

Solution for 3(2-6k)=-4(6k+6) equation:

Simplifying
3(2 + -6k) = -4(6k + 6)
(2 * 3 + -6k * 3) = -4(6k + 6)
(6 + -18k) = -4(6k + 6)

Reorder the terms:
6 + -18k = -4(6 + 6k)
6 + -18k = (6 * -4 + 6k * -4)
6 + -18k = (-24 + -24k)

Solving
6 + -18k = -24 + -24k

Solving for variable 'k'.

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

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

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

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

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

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

Combine like terms: -24 + -6 = -30
6k = -30

Divide each side by '6'.
k = -5

Simplifying
k = -5