-6-2k=2(1+3k)

Solution for -6-2k=2(1+3k) equation:

Simplifying
-6 + -2k = 2(1 + 3k)
-6 + -2k = (1 * 2 + 3k * 2)
-6 + -2k = (2 + 6k)

Solving
-6 + -2k = 2 + 6k

Solving for variable 'k'.

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

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

Combine like terms: -2k + -6k = -8k
-6 + -8k = 2 + 6k + -6k

Combine like terms: 6k + -6k = 0
-6 + -8k = 2 + 0
-6 + -8k = 2

Add '6' to each side of the equation.
-6 + 6 + -8k = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -8k = 2 + 6
-8k = 2 + 6

Combine like terms: 2 + 6 = 8
-8k = 8

Divide each side by '-8'.
k = -1

Simplifying
k = -1