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Simplifying 3(3k + 5) + -14k + 6 + 5 = 0 Reorder the terms: 3(5 + 3k) + -14k + 6 + 5 = 0 (5 * 3 + 3k * 3) + -14k + 6 + 5 = 0 (15 + 9k) + -14k + 6 + 5 = 0 Reorder the terms: 15 + 6 + 5 + 9k + -14k = 0 Combine like terms: 15 + 6 = 21 21 + 5 + 9k + -14k = 0 Combine like terms: 21 + 5 = 26 26 + 9k + -14k = 0 Combine like terms: 9k + -14k = -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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