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Simplifying -1(-9k + -9) + 3(5 + 3k) = -5k + -1k Reorder the terms: -1(-9 + -9k) + 3(5 + 3k) = -5k + -1k (-9 * -1 + -9k * -1) + 3(5 + 3k) = -5k + -1k (9 + 9k) + 3(5 + 3k) = -5k + -1k 9 + 9k + (5 * 3 + 3k * 3) = -5k + -1k 9 + 9k + (15 + 9k) = -5k + -1k Reorder the terms: 9 + 15 + 9k + 9k = -5k + -1k Combine like terms: 9 + 15 = 24 24 + 9k + 9k = -5k + -1k Combine like terms: 9k + 9k = 18k 24 + 18k = -5k + -1k Combine like terms: -5k + -1k = -6k 24 + 18k = -6k Solving 24 + 18k = -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 24 + 18k + 6k = -6k + 6k Combine like terms: 18k + 6k = 24k 24 + 24k = -6k + 6k Combine like terms: -6k + 6k = 0 24 + 24k = 0 Add '-24' to each side of the equation. 24 + -24 + 24k = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 24k = 0 + -24 24k = 0 + -24 Combine like terms: 0 + -24 = -24 24k = -24 Divide each side by '24'. k = -1 Simplifying k = -1
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