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Simplifying 2(4k + 5) + -13k + 9 + 4 = 0 Reorder the terms: 2(5 + 4k) + -13k + 9 + 4 = 0 (5 * 2 + 4k * 2) + -13k + 9 + 4 = 0 (10 + 8k) + -13k + 9 + 4 = 0 Reorder the terms: 10 + 9 + 4 + 8k + -13k = 0 Combine like terms: 10 + 9 = 19 19 + 4 + 8k + -13k = 0 Combine like terms: 19 + 4 = 23 23 + 8k + -13k = 0 Combine like terms: 8k + -13k = -5k 23 + -5k = 0 Solving 23 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -5k = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -5k = 0 + -23 -5k = 0 + -23 Combine like terms: 0 + -23 = -23 -5k = -23 Divide each side by '-5'. k = 4.6 Simplifying k = 4.6
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