6(1+2k)-6k=-3(-8k+4)

Solution for 6(1+2k)-6k=-3(-8k+4) equation:

Simplifying
6(1 + 2k) + -6k = -3(-8k + 4)
(1 * 6 + 2k * 6) + -6k = -3(-8k + 4)
(6 + 12k) + -6k = -3(-8k + 4)

Combine like terms: 12k + -6k = 6k
6 + 6k = -3(-8k + 4)

Reorder the terms:
6 + 6k = -3(4 + -8k)
6 + 6k = (4 * -3 + -8k * -3)
6 + 6k = (-12 + 24k)

Solving
6 + 6k = -12 + 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 + 6k + -24k = -12 + 24k + -24k

Combine like terms: 6k + -24k = -18k
6 + -18k = -12 + 24k + -24k

Combine like terms: 24k + -24k = 0
6 + -18k = -12 + 0
6 + -18k = -12

Add '-6' to each side of the equation.
6 + -6 + -18k = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -18k = -12 + -6
-18k = -12 + -6

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

Divide each side by '-18'.
k = 1

Simplifying
k = 1