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Simplifying 6k + 4 + 8k + 9 = 0 Reorder the terms: 4 + 9 + 6k + 8k = 0 Combine like terms: 4 + 9 = 13 13 + 6k + 8k = 0 Combine like terms: 6k + 8k = 14k 13 + 14k = 0 Solving 13 + 14k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 14k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 14k = 0 + -13 14k = 0 + -13 Combine like terms: 0 + -13 = -13 14k = -13 Divide each side by '14'. k = -0.9285714286 Simplifying k = -0.9285714286
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