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Simplifying 4(3k + 2) + 2(k + 7) = 0 Reorder the terms: 4(2 + 3k) + 2(k + 7) = 0 (2 * 4 + 3k * 4) + 2(k + 7) = 0 (8 + 12k) + 2(k + 7) = 0 Reorder the terms: 8 + 12k + 2(7 + k) = 0 8 + 12k + (7 * 2 + k * 2) = 0 8 + 12k + (14 + 2k) = 0 Reorder the terms: 8 + 14 + 12k + 2k = 0 Combine like terms: 8 + 14 = 22 22 + 12k + 2k = 0 Combine like terms: 12k + 2k = 14k 22 + 14k = 0 Solving 22 + 14k = 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 + 14k = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 14k = 0 + -22 14k = 0 + -22 Combine like terms: 0 + -22 = -22 14k = -22 Divide each side by '14'. k = -1.571428571 Simplifying k = -1.571428571
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