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Simplifying 3(4k + 5) + -14k + 9 + 3 = 0 Reorder the terms: 3(5 + 4k) + -14k + 9 + 3 = 0 (5 * 3 + 4k * 3) + -14k + 9 + 3 = 0 (15 + 12k) + -14k + 9 + 3 = 0 Reorder the terms: 15 + 9 + 3 + 12k + -14k = 0 Combine like terms: 15 + 9 = 24 24 + 3 + 12k + -14k = 0 Combine like terms: 24 + 3 = 27 27 + 12k + -14k = 0 Combine like terms: 12k + -14k = -2k 27 + -2k = 0 Solving 27 + -2k = 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 + -2k = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -2k = 0 + -27 -2k = 0 + -27 Combine like terms: 0 + -27 = -27 -2k = -27 Divide each side by '-2'. k = 13.5 Simplifying k = 13.5
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