6(3k+1)-3(5k-1)=39

Solution for 6(3k+1)-3(5k-1)=39 equation:

Simplifying
6(3k + 1) + -3(5k + -1) = 39

Reorder the terms:
6(1 + 3k) + -3(5k + -1) = 39
(1 * 6 + 3k * 6) + -3(5k + -1) = 39
(6 + 18k) + -3(5k + -1) = 39

Reorder the terms:
6 + 18k + -3(-1 + 5k) = 39
6 + 18k + (-1 * -3 + 5k * -3) = 39
6 + 18k + (3 + -15k) = 39

Reorder the terms:
6 + 3 + 18k + -15k = 39

Combine like terms: 6 + 3 = 9
9 + 18k + -15k = 39

Combine like terms: 18k + -15k = 3k
9 + 3k = 39

Solving
9 + 3k = 39

Solving for variable 'k'.

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

Add '-9' to each side of the equation.
9 + -9 + 3k = 39 + -9

Combine like terms: 9 + -9 = 0
0 + 3k = 39 + -9
3k = 39 + -9

Combine like terms: 39 + -9 = 30
3k = 30

Divide each side by '3'.
k = 10

Simplifying
k = 10