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Simplifying 5(3 + -1k) = 10k (3 * 5 + -1k * 5) = 10k (15 + -5k) = 10k Solving 15 + -5k = 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 + -5k + -10k = 10k + -10k Combine like terms: -5k + -10k = -15k 15 + -15k = 10k + -10k Combine like terms: 10k + -10k = 0 15 + -15k = 0 Add '-15' to each side of the equation. 15 + -15 + -15k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -15k = 0 + -15 -15k = 0 + -15 Combine like terms: 0 + -15 = -15 -15k = -15 Divide each side by '-15'. k = 1 Simplifying k = 1
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