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Simplifying 4(6k + 7) + 9 + -14k = 0 Reorder the terms: 4(7 + 6k) + 9 + -14k = 0 (7 * 4 + 6k * 4) + 9 + -14k = 0 (28 + 24k) + 9 + -14k = 0 Reorder the terms: 28 + 9 + 24k + -14k = 0 Combine like terms: 28 + 9 = 37 37 + 24k + -14k = 0 Combine like terms: 24k + -14k = 10k 37 + 10k = 0 Solving 37 + 10k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 10k = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 10k = 0 + -37 10k = 0 + -37 Combine like terms: 0 + -37 = -37 10k = -37 Divide each side by '10'. k = -3.7 Simplifying k = -3.7
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