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Simplifying 0.25(3 + -1k) = 0.375 (3 * 0.25 + -1k * 0.25) = 0.375 (0.75 + -0.25k) = 0.375 Solving 0.75 + -0.25k = 0.375 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + -0.25k = 0.375 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.25k = 0.375 + -0.75 -0.25k = 0.375 + -0.75 Combine like terms: 0.375 + -0.75 = -0.375 -0.25k = -0.375 Divide each side by '-0.25'. k = 1.5 Simplifying k = 1.5
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