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

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

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

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

Reorder the terms:
2 + -1k = -6 + -1k + -2k

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

Solving
2 + -1k = -6 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
2 + -1k + 3k = -6 + -3k + 3k

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

Combine like terms: -3k + 3k = 0
2 + 2k = -6 + 0
2 + 2k = -6

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

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

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

Divide each side by '2'.
k = -4

Simplifying
k = -4