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Simplifying 2(2k + 5) + -9k + 8 + 4 = 0 Reorder the terms: 2(5 + 2k) + -9k + 8 + 4 = 0 (5 * 2 + 2k * 2) + -9k + 8 + 4 = 0 (10 + 4k) + -9k + 8 + 4 = 0 Reorder the terms: 10 + 8 + 4 + 4k + -9k = 0 Combine like terms: 10 + 8 = 18 18 + 4 + 4k + -9k = 0 Combine like terms: 18 + 4 = 22 22 + 4k + -9k = 0 Combine like terms: 4k + -9k = -5k 22 + -5k = 0 Solving 22 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -5k = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -5k = 0 + -22 -5k = 0 + -22 Combine like terms: 0 + -22 = -22 -5k = -22 Divide each side by '-5'. k = 4.4 Simplifying k = 4.4
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