-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 = 18
3k = 18

Divide each side by '3'.
k = 6

Simplifying
k = 6