3(1+2k)+3=-4(3k+6)

Solution for 3(1+2k)+3=-4(3k+6) equation:

Simplifying
3(1 + 2k) + 3 = -4(3k + 6)
(1 * 3 + 2k * 3) + 3 = -4(3k + 6)
(3 + 6k) + 3 = -4(3k + 6)

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

Combine like terms: 3 + 3 = 6
6 + 6k = -4(3k + 6)

Reorder the terms:
6 + 6k = -4(6 + 3k)
6 + 6k = (6 * -4 + 3k * -4)
6 + 6k = (-24 + -12k)

Solving
6 + 6k = -24 + -12k

Solving for variable 'k'.

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

Add '12k' to each side of the equation.
6 + 6k + 12k = -24 + -12k + 12k

Combine like terms: 6k + 12k = 18k
6 + 18k = -24 + -12k + 12k

Combine like terms: -12k + 12k = 0
6 + 18k = -24 + 0
6 + 18k = -24

Add '-6' to each side of the equation.
6 + -6 + 18k = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 18k = -24 + -6
18k = -24 + -6

Combine like terms: -24 + -6 = -30
18k = -30

Divide each side by '18'.
k = -1.666666667

Simplifying
k = -1.666666667