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

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

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

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

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

Reorder the terms:
6 + -3k = 2 + 1 + -6k

Combine like terms: 2 + 1 = 3
6 + -3k = 3 + -6k

Solving
6 + -3k = 3 + -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
6 + -3k + 6k = 3 + -6k + 6k

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

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

Add '-6' to each side of the equation.
6 + -6 + 3k = 3 + -6

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

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

Divide each side by '3'.
k = -1

Simplifying
k = -1