3(k-1)-3(2k+2)=24-6k

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Solution for 3(k-1)-3(2k+2)=24-6k equation: 


Simplifying
3(k + -1) + -3(2k + 2) = 24 + -6k

Reorder the terms:
3(-1 + k) + -3(2k + 2) = 24 + -6k
(-1 * 3 + k * 3) + -3(2k + 2) = 24 + -6k
(-3 + 3k) + -3(2k + 2) = 24 + -6k

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

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

Combine like terms: -3 + -6 = -9
-9 + 3k + -6k = 24 + -6k

Combine like terms: 3k + -6k = -3k
-9 + -3k = 24 + -6k

Solving
-9 + -3k = 24 + -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.
-9 + -3k + 6k = 24 + -6k + 6k

Combine like terms: -3k + 6k = 3k
-9 + 3k = 24 + -6k + 6k

Combine like terms: -6k + 6k = 0
-9 + 3k = 24 + 0
-9 + 3k = 24

Add '9' to each side of the equation.
-9 + 9 + 3k = 24 + 9

Combine like terms: -9 + 9 = 0
0 + 3k = 24 + 9
3k = 24 + 9

Combine like terms: 24 + 9 = 33
3k = 33

Divide each side by '3'.
k = 11

Simplifying
k = 11

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