2(2k+2)=2k+k

Solution for 2(2k+2)=2k+k equation:

Simplifying
2(2k + 2) = 2k + k

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

Combine like terms: 2k + k = 3k
4 + 4k = 3k

Solving
4 + 4k = 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.
4 + 4k + -3k = 3k + -3k

Combine like terms: 4k + -3k = 1k
4 + 1k = 3k + -3k

Combine like terms: 3k + -3k = 0
4 + 1k = 0

Add '-4' to each side of the equation.
4 + -4 + 1k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 1k = 0 + -4
1k = 0 + -4

Combine like terms: 0 + -4 = -4
1k = -4

Divide each side by '1'.
k = -4

Simplifying
k = -4