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Simplifying 99(11 + -1k) = 3(k + -9) (11 * 99 + -1k * 99) = 3(k + -9) (1089 + -99k) = 3(k + -9) Reorder the terms: 1089 + -99k = 3(-9 + k) 1089 + -99k = (-9 * 3 + k * 3) 1089 + -99k = (-27 + 3k) Solving 1089 + -99k = -27 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 1089 + -99k + -3k = -27 + 3k + -3k Combine like terms: -99k + -3k = -102k 1089 + -102k = -27 + 3k + -3k Combine like terms: 3k + -3k = 0 1089 + -102k = -27 + 0 1089 + -102k = -27 Add '-1089' to each side of the equation. 1089 + -1089 + -102k = -27 + -1089 Combine like terms: 1089 + -1089 = 0 0 + -102k = -27 + -1089 -102k = -27 + -1089 Combine like terms: -27 + -1089 = -1116 -102k = -1116 Divide each side by '-102'. k = 10.94117647 Simplifying k = 10.94117647
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