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Simplifying 4(5 + -9k) + 11 = -149 (5 * 4 + -9k * 4) + 11 = -149 (20 + -36k) + 11 = -149 Reorder the terms: 20 + 11 + -36k = -149 Combine like terms: 20 + 11 = 31 31 + -36k = -149 Solving 31 + -36k = -149 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 = -149 + -31 Combine like terms: 31 + -31 = 0 0 + -36k = -149 + -31 -36k = -149 + -31 Combine like terms: -149 + -31 = -180 -36k = -180 Divide each side by '-36'. k = 5 Simplifying k = 5
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