2(3k-6)-3(k-6)=

Solution for 2(3k-6)-3(k-6)= equation:

Simplifying
2(3k + -6) + -3(k + -6) = 0

Reorder the terms:
2(-6 + 3k) + -3(k + -6) = 0
(-6 * 2 + 3k * 2) + -3(k + -6) = 0
(-12 + 6k) + -3(k + -6) = 0

Reorder the terms:
-12 + 6k + -3(-6 + k) = 0
-12 + 6k + (-6 * -3 + k * -3) = 0
-12 + 6k + (18 + -3k) = 0

Reorder the terms:
-12 + 18 + 6k + -3k = 0

Combine like terms: -12 + 18 = 6
6 + 6k + -3k = 0

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

Solving
6 + 3k = 0

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -6 + 3k = 0 + -6

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

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

Divide each side by '3'.
k = -2

Simplifying
k = -2