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

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

Simplifying
2(3k + 1) + -3(k + -1) = 0

Reorder the terms:
2(1 + 3k) + -3(k + -1) = 0
(1 * 2 + 3k * 2) + -3(k + -1) = 0
(2 + 6k) + -3(k + -1) = 0

Reorder the terms:
2 + 6k + -3(-1 + k) = 0
2 + 6k + (-1 * -3 + k * -3) = 0
2 + 6k + (3 + -3k) = 0

Reorder the terms:
2 + 3 + 6k + -3k = 0

Combine like terms: 2 + 3 = 5
5 + 6k + -3k = 0

Combine like terms: 6k + -3k = 3k
5 + 3k = 0

Solving
5 + 3k = 0

Solving for variable 'k'.

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

Add '-5' to each side of the equation.
5 + -5 + 3k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3k = 0 + -5
3k = 0 + -5

Combine like terms: 0 + -5 = -5
3k = -5

Divide each side by '3'.
k = -1.666666667

Simplifying
k = -1.666666667