6(2+3k)+2(5+3k)=

Solution for 6(2+3k)+2(5+3k)= equation:

Simplifying
6(2 + 3k) + 2(5 + 3k) = 0
(2 * 6 + 3k * 6) + 2(5 + 3k) = 0
(12 + 18k) + 2(5 + 3k) = 0
12 + 18k + (5 * 2 + 3k * 2) = 0
12 + 18k + (10 + 6k) = 0

Reorder the terms:
12 + 10 + 18k + 6k = 0

Combine like terms: 12 + 10 = 22
22 + 18k + 6k = 0

Combine like terms: 18k + 6k = 24k
22 + 24k = 0

Solving
22 + 24k = 0

Solving for variable 'k'.

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

Add '-22' to each side of the equation.
22 + -22 + 24k = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 24k = 0 + -22
24k = 0 + -22

Combine like terms: 0 + -22 = -22
24k = -22

Divide each side by '24'.
k = -0.9166666667

Simplifying
k = -0.9166666667