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Simplifying 10 + 10k + 3 + 14k = 0 Reorder the terms: 10 + 3 + 10k + 14k = 0 Combine like terms: 10 + 3 = 13 13 + 10k + 14k = 0 Combine like terms: 10k + 14k = 24k 13 + 24k = 0 Solving 13 + 24k = 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 + 24k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 24k = 0 + -13 24k = 0 + -13 Combine like terms: 0 + -13 = -13 24k = -13 Divide each side by '24'. k = -0.5416666667 Simplifying k = -0.5416666667
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