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Simplifying 9(11 + -1k) = 3(3k + -9) (11 * 9 + -1k * 9) = 3(3k + -9) (99 + -9k) = 3(3k + -9) Reorder the terms: 99 + -9k = 3(-9 + 3k) 99 + -9k = (-9 * 3 + 3k * 3) 99 + -9k = (-27 + 9k) Solving 99 + -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. 99 + -9k + -9k = -27 + 9k + -9k Combine like terms: -9k + -9k = -18k 99 + -18k = -27 + 9k + -9k Combine like terms: 9k + -9k = 0 99 + -18k = -27 + 0 99 + -18k = -27 Add '-99' to each side of the equation. 99 + -99 + -18k = -27 + -99 Combine like terms: 99 + -99 = 0 0 + -18k = -27 + -99 -18k = -27 + -99 Combine like terms: -27 + -99 = -126 -18k = -126 Divide each side by '-18'. k = 7 Simplifying k = 7
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