5(5k-6)-k=24-3k

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Solution for 5(5k-6)-k=24-3k equation:


Simplifying
5(5k + -6) + -1k = 24 + -3k

Reorder the terms:
5(-6 + 5k) + -1k = 24 + -3k
(-6 * 5 + 5k * 5) + -1k = 24 + -3k
(-30 + 25k) + -1k = 24 + -3k

Combine like terms: 25k + -1k = 24k
-30 + 24k = 24 + -3k

Solving
-30 + 24k = 24 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-30 + 24k + 3k = 24 + -3k + 3k

Combine like terms: 24k + 3k = 27k
-30 + 27k = 24 + -3k + 3k

Combine like terms: -3k + 3k = 0
-30 + 27k = 24 + 0
-30 + 27k = 24

Add '30' to each side of the equation.
-30 + 30 + 27k = 24 + 30

Combine like terms: -30 + 30 = 0
0 + 27k = 24 + 30
27k = 24 + 30

Combine like terms: 24 + 30 = 54
27k = 54

Divide each side by '27'.
k = 2

Simplifying
k = 2

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