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 = 95
50 = 95 + -10k + -5k

Combine like terms: -10k + -5k = -15k
50 = 95 + -15k

Solving
50 = 95 + -15k

Solving for variable 'k'.

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

Add '15k' to each side of the equation.
50 + 15k = 95 + -15k + 15k

Combine like terms: -15k + 15k = 0
50 + 15k = 95 + 0
50 + 15k = 95

Add '-50' to each side of the equation.
50 + -50 + 15k = 95 + -50

Combine like terms: 50 + -50 = 0
0 + 15k = 95 + -50
15k = 95 + -50

Combine like terms: 95 + -50 = 45
15k = 45

Divide each side by '15'.
k = 3

Simplifying
k = 3

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