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Simplifying 9(1 + -1k) = 3(3k + -9) (1 * 9 + -1k * 9) = 3(3k + -9) (9 + -9k) = 3(3k + -9) Reorder the terms: 9 + -9k = 3(-9 + 3k) 9 + -9k = (-9 * 3 + 3k * 3) 9 + -9k = (-27 + 9k) Solving 9 + -9k = -27 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 9 + -9k + -9k = -27 + 9k + -9k Combine like terms: -9k + -9k = -18k 9 + -18k = -27 + 9k + -9k Combine like terms: 9k + -9k = 0 9 + -18k = -27 + 0 9 + -18k = -27 Add '-9' to each side of the equation. 9 + -9 + -18k = -27 + -9 Combine like terms: 9 + -9 = 0 0 + -18k = -27 + -9 -18k = -27 + -9 Combine like terms: -27 + -9 = -36 -18k = -36 Divide each side by '-18'. k = 2 Simplifying k = 2
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