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Simplifying -1.5k + 1.25 + 2k = -0.2 Reorder the terms: 1.25 + -1.5k + 2k = -0.2 Combine like terms: -1.5k + 2k = 0.5k 1.25 + 0.5k = -0.2 Solving 1.25 + 0.5k = -0.2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + 0.5k = -0.2 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 0.5k = -0.2 + -1.25 0.5k = -0.2 + -1.25 Combine like terms: -0.2 + -1.25 = -1.45 0.5k = -1.45 Divide each side by '0.5'. k = -2.9 Simplifying k = -2.9
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