15-3k=5(k-5)-3k

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Solution for 15-3k=5(k-5)-3k equation: 


Simplifying
15 + -3k = 5(k + -5) + -3k

Reorder the terms:
15 + -3k = 5(-5 + k) + -3k
15 + -3k = (-5 * 5 + k * 5) + -3k
15 + -3k = (-25 + 5k) + -3k

Combine like terms: 5k + -3k = 2k
15 + -3k = -25 + 2k

Solving
15 + -3k = -25 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
15 + -3k + -2k = -25 + 2k + -2k

Combine like terms: -3k + -2k = -5k
15 + -5k = -25 + 2k + -2k

Combine like terms: 2k + -2k = 0
15 + -5k = -25 + 0
15 + -5k = -25

Add '-15' to each side of the equation.
15 + -15 + -5k = -25 + -15

Combine like terms: 15 + -15 = 0
0 + -5k = -25 + -15
-5k = -25 + -15

Combine like terms: -25 + -15 = -40
-5k = -40

Divide each side by '-5'.
k = 8

Simplifying
k = 8

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