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Simplifying -0.25(-1 + -1k) = 1.25 + -5.75 (-1 * -0.25 + -1k * -0.25) = 1.25 + -5.75 (0.25 + 0.25k) = 1.25 + -5.75 Combine like terms: 1.25 + -5.75 = -4.5 0.25 + 0.25k = -4.5 Solving 0.25 + 0.25k = -4.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + 0.25k = -4.5 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.25k = -4.5 + -0.25 0.25k = -4.5 + -0.25 Combine like terms: -4.5 + -0.25 = -4.75 0.25k = -4.75 Divide each side by '0.25'. k = -19 Simplifying k = -19
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