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Simplifying 2.5k + 5 + -1.6k = 14 Reorder the terms: 5 + 2.5k + -1.6k = 14 Combine like terms: 2.5k + -1.6k = 0.9k 5 + 0.9k = 14 Solving 5 + 0.9k = 14 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 + 0.9k = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 0.9k = 14 + -5 0.9k = 14 + -5 Combine like terms: 14 + -5 = 9 0.9k = 9 Divide each side by '0.9'. k = 10 Simplifying k = 10
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