3(2k+2)=2(k+7)-14+2k

Solution for 3(2k+2)=2(k+7)-14+2k equation:

Simplifying
3(2k + 2) = 2(k + 7) + -14 + 2k

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

Reorder the terms:
6 + 6k = 2(7 + k) + -14 + 2k
6 + 6k = (7 * 2 + k * 2) + -14 + 2k
6 + 6k = (14 + 2k) + -14 + 2k

Reorder the terms:
6 + 6k = 14 + -14 + 2k + 2k

Combine like terms: 14 + -14 = 0
6 + 6k = 0 + 2k + 2k
6 + 6k = 2k + 2k

Combine like terms: 2k + 2k = 4k
6 + 6k = 4k

Solving
6 + 6k = 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
6 + 6k + -4k = 4k + -4k

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

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

Add '-6' to each side of the equation.
6 + -6 + 2k = 0 + -6

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

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

Divide each side by '2'.
k = -3

Simplifying
k = -3