3(k-1)-3(2k-2)=24

Solution for 3(k-1)-3(2k-2)=24 equation:

Simplifying
3(k + -1) + -3(2k + -2) = 24

Reorder the terms:
3(-1 + k) + -3(2k + -2) = 24
(-1 * 3 + k * 3) + -3(2k + -2) = 24
(-3 + 3k) + -3(2k + -2) = 24

Reorder the terms:
-3 + 3k + -3(-2 + 2k) = 24
-3 + 3k + (-2 * -3 + 2k * -3) = 24
-3 + 3k + (6 + -6k) = 24

Reorder the terms:
-3 + 6 + 3k + -6k = 24

Combine like terms: -3 + 6 = 3
3 + 3k + -6k = 24

Combine like terms: 3k + -6k = -3k
3 + -3k = 24

Solving
3 + -3k = 24

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 + -3k = 24 + -3

Combine like terms: 3 + -3 = 0
0 + -3k = 24 + -3
-3k = 24 + -3

Combine like terms: 24 + -3 = 21
-3k = 21

Divide each side by '-3'.
k = -7

Simplifying
k = -7