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

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

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

Reorder the terms:
2(-2 + 2k) + -2(3k + 1) = 2 + -3(k + 1)
(-2 * 2 + 2k * 2) + -2(3k + 1) = 2 + -3(k + 1)
(-4 + 4k) + -2(3k + 1) = 2 + -3(k + 1)

Reorder the terms:
-4 + 4k + -2(1 + 3k) = 2 + -3(k + 1)
-4 + 4k + (1 * -2 + 3k * -2) = 2 + -3(k + 1)
-4 + 4k + (-2 + -6k) = 2 + -3(k + 1)

Reorder the terms:
-4 + -2 + 4k + -6k = 2 + -3(k + 1)

Combine like terms: -4 + -2 = -6
-6 + 4k + -6k = 2 + -3(k + 1)

Combine like terms: 4k + -6k = -2k
-6 + -2k = 2 + -3(k + 1)

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

Combine like terms: 2 + -3 = -1
-6 + -2k = -1 + -3k

Solving
-6 + -2k = -1 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-6 + -2k + 3k = -1 + -3k + 3k

Combine like terms: -2k + 3k = 1k
-6 + 1k = -1 + -3k + 3k

Combine like terms: -3k + 3k = 0
-6 + 1k = -1 + 0
-6 + 1k = -1

Add '6' to each side of the equation.
-6 + 6 + 1k = -1 + 6

Combine like terms: -6 + 6 = 0
0 + 1k = -1 + 6
1k = -1 + 6

Combine like terms: -1 + 6 = 5
1k = 5

Divide each side by '1'.
k = 5

Simplifying
k = 5