3(3k+2)=6(4k-4)

Solution for 3(3k+2)=6(4k-4) equation:

Simplifying
3(3k + 2) = 6(4k + -4)

Reorder the terms:
3(2 + 3k) = 6(4k + -4)
(2 * 3 + 3k * 3) = 6(4k + -4)
(6 + 9k) = 6(4k + -4)

Reorder the terms:
6 + 9k = 6(-4 + 4k)
6 + 9k = (-4 * 6 + 4k * 6)
6 + 9k = (-24 + 24k)

Solving
6 + 9k = -24 + 24k

Solving for variable 'k'.

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

Add '-24k' to each side of the equation.
6 + 9k + -24k = -24 + 24k + -24k

Combine like terms: 9k + -24k = -15k
6 + -15k = -24 + 24k + -24k

Combine like terms: 24k + -24k = 0
6 + -15k = -24 + 0
6 + -15k = -24

Add '-6' to each side of the equation.
6 + -6 + -15k = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -15k = -24 + -6
-15k = -24 + -6

Combine like terms: -24 + -6 = -30
-15k = -30

Divide each side by '-15'.
k = 2

Simplifying
k = 2