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Simplifying 20k = 5(5k + -17) + 10 Reorder the terms: 20k = 5(-17 + 5k) + 10 20k = (-17 * 5 + 5k * 5) + 10 20k = (-85 + 25k) + 10 Reorder the terms: 20k = -85 + 10 + 25k Combine like terms: -85 + 10 = -75 20k = -75 + 25k Solving 20k = -75 + 25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25k' to each side of the equation. 20k + -25k = -75 + 25k + -25k Combine like terms: 20k + -25k = -5k -5k = -75 + 25k + -25k Combine like terms: 25k + -25k = 0 -5k = -75 + 0 -5k = -75 Divide each side by '-5'. k = 15 Simplifying k = 15
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