-3(k-2)-(-6k-4)=2

Solution for -3(k-2)-(-6k-4)=2 equation:

Simplifying
-3(k + -2) + -1(-6k + -4) = 2

Reorder the terms:
-3(-2 + k) + -1(-6k + -4) = 2
(-2 * -3 + k * -3) + -1(-6k + -4) = 2
(6 + -3k) + -1(-6k + -4) = 2

Reorder the terms:
6 + -3k + -1(-4 + -6k) = 2
6 + -3k + (-4 * -1 + -6k * -1) = 2
6 + -3k + (4 + 6k) = 2

Reorder the terms:
6 + 4 + -3k + 6k = 2

Combine like terms: 6 + 4 = 10
10 + -3k + 6k = 2

Combine like terms: -3k + 6k = 3k
10 + 3k = 2

Solving
10 + 3k = 2

Solving for variable 'k'.

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

Add '-10' to each side of the equation.
10 + -10 + 3k = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 3k = 2 + -10
3k = 2 + -10

Combine like terms: 2 + -10 = -8
3k = -8

Divide each side by '3'.
k = -2.666666667

Simplifying
k = -2.666666667