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Simplifying 5 + -9k + -4 + 2k = 0 Reorder the terms: 5 + -4 + -9k + 2k = 0 Combine like terms: 5 + -4 = 1 1 + -9k + 2k = 0 Combine like terms: -9k + 2k = -7k 1 + -7k = 0 Solving 1 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7k = 0 + -1 -7k = 0 + -1 Combine like terms: 0 + -1 = -1 -7k = -1 Divide each side by '-7'. k = 0.1428571429 Simplifying k = 0.1428571429
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