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Simplifying 2k + 5k + 9 = 0 Reorder the terms: 9 + 2k + 5k = 0 Combine like terms: 2k + 5k = 7k 9 + 7k = 0 Solving 9 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7k = 0 + -9 7k = 0 + -9 Combine like terms: 0 + -9 = -9 7k = -9 Divide each side by '7'. k = -1.285714286 Simplifying k = -1.285714286
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