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

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

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

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

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

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

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

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

Solving
3 + 1k = -4

Solving for variable 'k'.

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

Add '-3' to each side of the equation.
3 + -3 + 1k = -4 + -3

Combine like terms: 3 + -3 = 0
0 + 1k = -4 + -3
1k = -4 + -3

Combine like terms: -4 + -3 = -7
1k = -7

Divide each side by '1'.
k = -7

Simplifying
k = -7