2(6k-7)+6(-3k+1)=22

Solution for 2(6k-7)+6(-3k+1)=22 equation:

Simplifying
2(6k + -7) + 6(-3k + 1) = 22

Reorder the terms:
2(-7 + 6k) + 6(-3k + 1) = 22
(-7 * 2 + 6k * 2) + 6(-3k + 1) = 22
(-14 + 12k) + 6(-3k + 1) = 22

Reorder the terms:
-14 + 12k + 6(1 + -3k) = 22
-14 + 12k + (1 * 6 + -3k * 6) = 22
-14 + 12k + (6 + -18k) = 22

Reorder the terms:
-14 + 6 + 12k + -18k = 22

Combine like terms: -14 + 6 = -8
-8 + 12k + -18k = 22

Combine like terms: 12k + -18k = -6k
-8 + -6k = 22

Solving
-8 + -6k = 22

Solving for variable 'k'.

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

Add '8' to each side of the equation.
-8 + 8 + -6k = 22 + 8

Combine like terms: -8 + 8 = 0
0 + -6k = 22 + 8
-6k = 22 + 8

Combine like terms: 22 + 8 = 30
-6k = 30

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

Simplifying
k = -5