6+6k=6(6+2k)

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

Simplifying
6 + 6k = 6(6 + 2k)
6 + 6k = (6 * 6 + 2k * 6)
6 + 6k = (36 + 12k)

Solving
6 + 6k = 36 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
6 + 6k + -12k = 36 + 12k + -12k

Combine like terms: 6k + -12k = -6k
6 + -6k = 36 + 12k + -12k

Combine like terms: 12k + -12k = 0
6 + -6k = 36 + 0
6 + -6k = 36

Add '-6' to each side of the equation.
6 + -6 + -6k = 36 + -6

Combine like terms: 6 + -6 = 0
0 + -6k = 36 + -6
-6k = 36 + -6

Combine like terms: 36 + -6 = 30
-6k = 30

Divide each side by '-6'.
k = -5

Simplifying
k = -5