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Simplifying 10(5 + -1k) = 5(k + -5) (5 * 10 + -1k * 10) = 5(k + -5) (50 + -10k) = 5(k + -5) Reorder the terms: 50 + -10k = 5(-5 + k) 50 + -10k = (-5 * 5 + k * 5) 50 + -10k = (-25 + 5k) Solving 50 + -10k = -25 + 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 + -10k + -5k = -25 + 5k + -5k Combine like terms: -10k + -5k = -15k 50 + -15k = -25 + 5k + -5k Combine like terms: 5k + -5k = 0 50 + -15k = -25 + 0 50 + -15k = -25 Add '-50' to each side of the equation. 50 + -50 + -15k = -25 + -50 Combine like terms: 50 + -50 = 0 0 + -15k = -25 + -50 -15k = -25 + -50 Combine like terms: -25 + -50 = -75 -15k = -75 Divide each side by '-15'. k = 5 Simplifying k = 5
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