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Simplifying 2.5k + 1 + -1.5k = 8 Reorder the terms: 1 + 2.5k + -1.5k = 8 Combine like terms: 2.5k + -1.5k = 1k 1 + 1k = 8 Solving 1 + 1k = 8 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 + 1k = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1k = 8 + -1 1k = 8 + -1 Combine like terms: 8 + -1 = 7 1k = 7 Divide each side by '1'. k = 7 Simplifying k = 7
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