6=-3(k+-4)

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

Simplifying
6 = -3(k + -4)

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

Solving
6 = 12 + -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 = 12 + -3k + 3k

Combine like terms: -3k + 3k = 0
6 + 3k = 12 + 0
6 + 3k = 12

Add '-6' to each side of the equation.
6 + -6 + 3k = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 3k = 12 + -6
3k = 12 + -6

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

Divide each side by '3'.
k = 2

Simplifying
k = 2