2(3k+3)-3(k+4)=

Solution for 2(3k+3)-3(k+4)= equation:

Simplifying
2(3k + 3) + -3(k + 4) = 0

Reorder the terms:
2(3 + 3k) + -3(k + 4) = 0
(3 * 2 + 3k * 2) + -3(k + 4) = 0
(6 + 6k) + -3(k + 4) = 0

Reorder the terms:
6 + 6k + -3(4 + k) = 0
6 + 6k + (4 * -3 + k * -3) = 0
6 + 6k + (-12 + -3k) = 0

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

Combine like terms: 6 + -12 = -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