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Simplifying 5(k + 6) + 8(k + -9) = 72 Reorder the terms: 5(6 + k) + 8(k + -9) = 72 (6 * 5 + k * 5) + 8(k + -9) = 72 (30 + 5k) + 8(k + -9) = 72 Reorder the terms: 30 + 5k + 8(-9 + k) = 72 30 + 5k + (-9 * 8 + k * 8) = 72 30 + 5k + (-72 + 8k) = 72 Reorder the terms: 30 + -72 + 5k + 8k = 72 Combine like terms: 30 + -72 = -42 -42 + 5k + 8k = 72 Combine like terms: 5k + 8k = 13k -42 + 13k = 72 Solving -42 + 13k = 72 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 13k = 72 + 42 Combine like terms: -42 + 42 = 0 0 + 13k = 72 + 42 13k = 72 + 42 Combine like terms: 72 + 42 = 114 13k = 114 Divide each side by '13'. k = 8.769230769 Simplifying k = 8.769230769
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