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Simplifying -12(k + 9) = 12(1 + 9k) Reorder the terms: -12(9 + k) = 12(1 + 9k) (9 * -12 + k * -12) = 12(1 + 9k) (-108 + -12k) = 12(1 + 9k) -108 + -12k = (1 * 12 + 9k * 12) -108 + -12k = (12 + 108k) Solving -108 + -12k = 12 + 108k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-108k' to each side of the equation. -108 + -12k + -108k = 12 + 108k + -108k Combine like terms: -12k + -108k = -120k -108 + -120k = 12 + 108k + -108k Combine like terms: 108k + -108k = 0 -108 + -120k = 12 + 0 -108 + -120k = 12 Add '108' to each side of the equation. -108 + 108 + -120k = 12 + 108 Combine like terms: -108 + 108 = 0 0 + -120k = 12 + 108 -120k = 12 + 108 Combine like terms: 12 + 108 = 120 -120k = 120 Divide each side by '-120'. k = -1 Simplifying k = -1
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