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

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

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

Reorder the terms:
-4(-3 + k) + -1(6 + -3k) = -2k
(-3 * -4 + k * -4) + -1(6 + -3k) = -2k
(12 + -4k) + -1(6 + -3k) = -2k
12 + -4k + (6 * -1 + -3k * -1) = -2k
12 + -4k + (-6 + 3k) = -2k

Reorder the terms:
12 + -6 + -4k + 3k = -2k

Combine like terms: 12 + -6 = 6
6 + -4k + 3k = -2k

Combine like terms: -4k + 3k = -1k
6 + -1k = -2k

Solving
6 + -1k = -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.
6 + -1k + 2k = -2k + 2k

Combine like terms: -1k + 2k = 1k
6 + 1k = -2k + 2k

Combine like terms: -2k + 2k = 0
6 + 1k = 0

Add '-6' to each side of the equation.
6 + -6 + 1k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1k = 0 + -6
1k = 0 + -6

Combine like terms: 0 + -6 = -6
1k = -6

Divide each side by '1'.
k = -6

Simplifying
k = -6