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Simplifying 0.25(1 + -1k) = -1k (1 * 0.25 + -1k * 0.25) = -1k (0.25 + -0.25k) = -1k Solving 0.25 + -0.25k = -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 0.25 + -0.25k + k = -1k + k Combine like terms: -0.25k + k = 0.75k 0.25 + 0.75k = -1k + k Combine like terms: -1k + k = 0 0.25 + 0.75k = 0 Add '-0.25' to each side of the equation. 0.25 + -0.25 + 0.75k = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.75k = 0 + -0.25 0.75k = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.75k = -0.25 Divide each side by '0.75'. k = -0.3333333333 Simplifying k = -0.3333333333
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