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Simplifying 3(k + 5) + -8k + 9 + 2 = 0 Reorder the terms: 3(5 + k) + -8k + 9 + 2 = 0 (5 * 3 + k * 3) + -8k + 9 + 2 = 0 (15 + 3k) + -8k + 9 + 2 = 0 Reorder the terms: 15 + 9 + 2 + 3k + -8k = 0 Combine like terms: 15 + 9 = 24 24 + 2 + 3k + -8k = 0 Combine like terms: 24 + 2 = 26 26 + 3k + -8k = 0 Combine like terms: 3k + -8k = -5k 26 + -5k = 0 Solving 26 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -5k = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -5k = 0 + -26 -5k = 0 + -26 Combine like terms: 0 + -26 = -26 -5k = -26 Divide each side by '-5'. k = 5.2 Simplifying k = 5.2
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