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Simplifying 4(2 + 9k) + 9 = 0 (2 * 4 + 9k * 4) + 9 = 0 (8 + 36k) + 9 = 0 Reorder the terms: 8 + 9 + 36k = 0 Combine like terms: 8 + 9 = 17 17 + 36k = 0 Solving 17 + 36k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 36k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 36k = 0 + -17 36k = 0 + -17 Combine like terms: 0 + -17 = -17 36k = -17 Divide each side by '36'. k = -0.4722222222 Simplifying k = -0.4722222222
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