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Simplifying 9(k + 12) + -12(k + -5) = 0 Reorder the terms: 9(12 + k) + -12(k + -5) = 0 (12 * 9 + k * 9) + -12(k + -5) = 0 (108 + 9k) + -12(k + -5) = 0 Reorder the terms: 108 + 9k + -12(-5 + k) = 0 108 + 9k + (-5 * -12 + k * -12) = 0 108 + 9k + (60 + -12k) = 0 Reorder the terms: 108 + 60 + 9k + -12k = 0 Combine like terms: 108 + 60 = 168 168 + 9k + -12k = 0 Combine like terms: 9k + -12k = -3k 168 + -3k = 0 Solving 168 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-168' to each side of the equation. 168 + -168 + -3k = 0 + -168 Combine like terms: 168 + -168 = 0 0 + -3k = 0 + -168 -3k = 0 + -168 Combine like terms: 0 + -168 = -168 -3k = -168 Divide each side by '-3'. k = 56 Simplifying k = 56
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