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Simplifying -9.5(1 + -2.5k) = 22.5 (1 * -9.5 + -2.5k * -9.5) = 22.5 (-9.5 + 23.75k) = 22.5 Solving -9.5 + 23.75k = 22.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9.5' to each side of the equation. -9.5 + 9.5 + 23.75k = 22.5 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + 23.75k = 22.5 + 9.5 23.75k = 22.5 + 9.5 Combine like terms: 22.5 + 9.5 = 32 23.75k = 32 Divide each side by '23.75'. k = 1.347368421 Simplifying k = 1.347368421
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