15-3k=10(k-5)

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Solution for 15-3k=10(k-5) equation: 


Simplifying
15 + -3k = 10(k + -5)

Reorder the terms:
15 + -3k = 10(-5 + k)
15 + -3k = (-5 * 10 + k * 10)
15 + -3k = (-50 + 10k)

Solving
15 + -3k = -50 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
15 + -3k + -10k = -50 + 10k + -10k

Combine like terms: -3k + -10k = -13k
15 + -13k = -50 + 10k + -10k

Combine like terms: 10k + -10k = 0
15 + -13k = -50 + 0
15 + -13k = -50

Add '-15' to each side of the equation.
15 + -15 + -13k = -50 + -15

Combine like terms: 15 + -15 = 0
0 + -13k = -50 + -15
-13k = -50 + -15

Combine like terms: -50 + -15 = -65
-13k = -65

Divide each side by '-13'.
k = 5

Simplifying
k = 5

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