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

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

Simplifying
3(2k + -2) + -2(k + 1) = 0

Reorder the terms:
3(-2 + 2k) + -2(k + 1) = 0
(-2 * 3 + 2k * 3) + -2(k + 1) = 0
(-6 + 6k) + -2(k + 1) = 0

Reorder the terms:
-6 + 6k + -2(1 + k) = 0
-6 + 6k + (1 * -2 + k * -2) = 0
-6 + 6k + (-2 + -2k) = 0

Reorder the terms:
-6 + -2 + 6k + -2k = 0

Combine like terms: -6 + -2 = -8
-8 + 6k + -2k = 0

Combine like terms: 6k + -2k = 4k
-8 + 4k = 0

Solving
-8 + 4k = 0

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 + 4k = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 4k = 0 + 8
4k = 0 + 8

Combine like terms: 0 + 8 = 8
4k = 8

Divide each side by '4'.
k = 2

Simplifying
k = 2