12+(2-2k)=6+2k

Solution for 12+(2-2k)=6+2k equation:

Simplifying
12 + (2 + -2k) = 6 + 2k

Remove parenthesis around (2 + -2k)
12 + 2 + -2k = 6 + 2k

Combine like terms: 12 + 2 = 14
14 + -2k = 6 + 2k

Solving
14 + -2k = 6 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
14 + -2k + -2k = 6 + 2k + -2k

Combine like terms: -2k + -2k = -4k
14 + -4k = 6 + 2k + -2k

Combine like terms: 2k + -2k = 0
14 + -4k = 6 + 0
14 + -4k = 6

Add '-14' to each side of the equation.
14 + -14 + -4k = 6 + -14

Combine like terms: 14 + -14 = 0
0 + -4k = 6 + -14
-4k = 6 + -14

Combine like terms: 6 + -14 = -8
-4k = -8

Divide each side by '-4'.
k = 2

Simplifying
k = 2