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Simplifying 3(3k + 5) + -14k + 8 + 4 = 0 Reorder the terms: 3(5 + 3k) + -14k + 8 + 4 = 0 (5 * 3 + 3k * 3) + -14k + 8 + 4 = 0 (15 + 9k) + -14k + 8 + 4 = 0 Reorder the terms: 15 + 8 + 4 + 9k + -14k = 0 Combine like terms: 15 + 8 = 23 23 + 4 + 9k + -14k = 0 Combine like terms: 23 + 4 = 27 27 + 9k + -14k = 0 Combine like terms: 9k + -14k = -5k 27 + -5k = 0 Solving 27 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -5k = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -5k = 0 + -27 -5k = 0 + -27 Combine like terms: 0 + -27 = -27 -5k = -27 Divide each side by '-5'. k = 5.4 Simplifying k = 5.4
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