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

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

Simplifying
6(3k + 2) + -3(k + 5) = 0

Reorder the terms:
6(2 + 3k) + -3(k + 5) = 0
(2 * 6 + 3k * 6) + -3(k + 5) = 0
(12 + 18k) + -3(k + 5) = 0

Reorder the terms:
12 + 18k + -3(5 + k) = 0
12 + 18k + (5 * -3 + k * -3) = 0
12 + 18k + (-15 + -3k) = 0

Reorder the terms:
12 + -15 + 18k + -3k = 0

Combine like terms: 12 + -15 = -3
-3 + 18k + -3k = 0

Combine like terms: 18k + -3k = 15k
-3 + 15k = 0

Solving
-3 + 15k = 0

Solving for variable 'k'.

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

Add '3' to each side of the equation.
-3 + 3 + 15k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 15k = 0 + 3
15k = 0 + 3

Combine like terms: 0 + 3 = 3
15k = 3

Divide each side by '15'.
k = 0.2

Simplifying
k = 0.2