3(2k-2)=(-2)(4k-11)

Solution for 3(2k-2)=(-2)(4k-11) equation:

Simplifying
3(2k + -2) = (-2)(4k + -11)

Reorder the terms:
3(-2 + 2k) = (-2)(4k + -11)
(-2 * 3 + 2k * 3) = (-2)(4k + -11)
(-6 + 6k) = (-2)(4k + -11)

Reorder the terms:
-6 + 6k = -2(-11 + 4k)
-6 + 6k = (-11 * -2 + 4k * -2)
-6 + 6k = (22 + -8k)

Solving
-6 + 6k = 22 + -8k

Solving for variable 'k'.

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

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

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

Combine like terms: -8k + 8k = 0
-6 + 14k = 22 + 0
-6 + 14k = 22

Add '6' to each side of the equation.
-6 + 6 + 14k = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 14k = 22 + 6
14k = 22 + 6

Combine like terms: 22 + 6 = 28
14k = 28

Divide each side by '14'.
k = 2

Simplifying
k = 2