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Simplifying 0.25(k + -1) = 9 Reorder the terms: 0.25(-1 + k) = 9 (-1 * 0.25 + k * 0.25) = 9 (-0.25 + 0.25k) = 9 Solving -0.25 + 0.25k = 9 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 = 9 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 0.25k = 9 + 0.25 0.25k = 9 + 0.25 Combine like terms: 9 + 0.25 = 9.25 0.25k = 9.25 Divide each side by '0.25'. k = 37 Simplifying k = 37
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