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

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

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

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

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

Reorder the terms:
3 + -1k = 4 + 4 + 4k

Combine like terms: 4 + 4 = 8
3 + -1k = 8 + 4k

Solving
3 + -1k = 8 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
3 + -1k + -4k = 8 + 4k + -4k

Combine like terms: -1k + -4k = -5k
3 + -5k = 8 + 4k + -4k

Combine like terms: 4k + -4k = 0
3 + -5k = 8 + 0
3 + -5k = 8

Add '-3' to each side of the equation.
3 + -3 + -5k = 8 + -3

Combine like terms: 3 + -3 = 0
0 + -5k = 8 + -3
-5k = 8 + -3

Combine like terms: 8 + -3 = 5
-5k = 5

Divide each side by '-5'.
k = -1

Simplifying
k = -1