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Simplifying -2k + 5 + -4 + 7k = 0 Reorder the terms: 5 + -4 + -2k + 7k = 0 Combine like terms: 5 + -4 = 1 1 + -2k + 7k = 0 Combine like terms: -2k + 7k = 5k 1 + 5k = 0 Solving 1 + 5k = 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 + 5k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5k = 0 + -1 5k = 0 + -1 Combine like terms: 0 + -1 = -1 5k = -1 Divide each side by '5'. k = -0.2 Simplifying k = -0.2
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