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Simplifying 9(4k + 5) + -14 = 0 Reorder the terms: 9(5 + 4k) + -14 = 0 (5 * 9 + 4k * 9) + -14 = 0 (45 + 36k) + -14 = 0 Reorder the terms: 45 + -14 + 36k = 0 Combine like terms: 45 + -14 = 31 31 + 36k = 0 Solving 31 + 36k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 36k = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 36k = 0 + -31 36k = 0 + -31 Combine like terms: 0 + -31 = -31 36k = -31 Divide each side by '36'. k = -0.8611111111 Simplifying k = -0.8611111111
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