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Simplifying 5(3 + k) = 4(14 + -1k) (3 * 5 + k * 5) = 4(14 + -1k) (15 + 5k) = 4(14 + -1k) 15 + 5k = (14 * 4 + -1k * 4) 15 + 5k = (56 + -4k) Solving 15 + 5k = 56 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 15 + 5k + 4k = 56 + -4k + 4k Combine like terms: 5k + 4k = 9k 15 + 9k = 56 + -4k + 4k Combine like terms: -4k + 4k = 0 15 + 9k = 56 + 0 15 + 9k = 56 Add '-15' to each side of the equation. 15 + -15 + 9k = 56 + -15 Combine like terms: 15 + -15 = 0 0 + 9k = 56 + -15 9k = 56 + -15 Combine like terms: 56 + -15 = 41 9k = 41 Divide each side by '9'. k = 4.555555556 Simplifying k = 4.555555556
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