50=10(k-8)-5(k-3)

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Solution for 50=10(k-8)-5(k-3) equation: 


Simplifying
50 = 10(k + -8) + -5(k + -3)

Reorder the terms:
50 = 10(-8 + k) + -5(k + -3)
50 = (-8 * 10 + k * 10) + -5(k + -3)
50 = (-80 + 10k) + -5(k + -3)

Reorder the terms:
50 = -80 + 10k + -5(-3 + k)
50 = -80 + 10k + (-3 * -5 + k * -5)
50 = -80 + 10k + (15 + -5k)

Reorder the terms:
50 = -80 + 15 + 10k + -5k

Combine like terms: -80 + 15 = -65
50 = -65 + 10k + -5k

Combine like terms: 10k + -5k = 5k
50 = -65 + 5k

Solving
50 = -65 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
50 + -5k = -65 + 5k + -5k

Combine like terms: 5k + -5k = 0
50 + -5k = -65 + 0
50 + -5k = -65

Add '-50' to each side of the equation.
50 + -50 + -5k = -65 + -50

Combine like terms: 50 + -50 = 0
0 + -5k = -65 + -50
-5k = -65 + -50

Combine like terms: -65 + -50 = -115
-5k = -115

Divide each side by '-5'.
k = 23

Simplifying
k = 23

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