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Simplifying 5.2k + -2k + 5 = 0 Reorder the terms: 5 + 5.2k + -2k = 0 Combine like terms: 5.2k + -2k = 3.2k 5 + 3.2k = 0 Solving 5 + 3.2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3.2k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3.2k = 0 + -5 3.2k = 0 + -5 Combine like terms: 0 + -5 = -5 3.2k = -5 Divide each side by '3.2'. k = -1.5625 Simplifying k = -1.5625
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