3[k+2]=-3k

Solution for 3[k+2]=-3k equation:

Simplifying
3[k + 2] = -3k

Reorder the terms:
3[2 + k] = -3k
[2 * 3 + k * 3] = -3k
[6 + 3k] = -3k

Solving
6 + 3k = -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.
6 + 3k + 3k = -3k + 3k

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

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

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

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

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

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

Simplifying
k = -1