-3k=6+3(k-4)

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

Simplifying
-3k = 6 + 3(k + -4)

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

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

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

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

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

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

Simplifying
k = 1