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Simplifying 9(11 + -1k) = 13(3k + -9) (11 * 9 + -1k * 9) = 13(3k + -9) (99 + -9k) = 13(3k + -9) Reorder the terms: 99 + -9k = 13(-9 + 3k) 99 + -9k = (-9 * 13 + 3k * 13) 99 + -9k = (-117 + 39k) Solving 99 + -9k = -117 + 39k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-39k' to each side of the equation. 99 + -9k + -39k = -117 + 39k + -39k Combine like terms: -9k + -39k = -48k 99 + -48k = -117 + 39k + -39k Combine like terms: 39k + -39k = 0 99 + -48k = -117 + 0 99 + -48k = -117 Add '-99' to each side of the equation. 99 + -99 + -48k = -117 + -99 Combine like terms: 99 + -99 = 0 0 + -48k = -117 + -99 -48k = -117 + -99 Combine like terms: -117 + -99 = -216 -48k = -216 Divide each side by '-48'. k = 4.5 Simplifying k = 4.5
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