2+2(-6k-1)=6+5(-6-2k)

Solution for 2+2(-6k-1)=6+5(-6-2k) equation:

Simplifying
2 + 2(-6k + -1) = 6 + 5(-6 + -2k)

Reorder the terms:
2 + 2(-1 + -6k) = 6 + 5(-6 + -2k)
2 + (-1 * 2 + -6k * 2) = 6 + 5(-6 + -2k)
2 + (-2 + -12k) = 6 + 5(-6 + -2k)

Combine like terms: 2 + -2 = 0
0 + -12k = 6 + 5(-6 + -2k)
-12k = 6 + 5(-6 + -2k)
-12k = 6 + (-6 * 5 + -2k * 5)
-12k = 6 + (-30 + -10k)

Combine like terms: 6 + -30 = -24
-12k = -24 + -10k

Solving
-12k = -24 + -10k

Solving for variable 'k'.

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

Add '10k' to each side of the equation.
-12k + 10k = -24 + -10k + 10k

Combine like terms: -12k + 10k = -2k
-2k = -24 + -10k + 10k

Combine like terms: -10k + 10k = 0
-2k = -24 + 0
-2k = -24

Divide each side by '-2'.
k = 12

Simplifying
k = 12