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Simplifying -3.5(5.5 + -9k) = 24.5 (5.5 * -3.5 + -9k * -3.5) = 24.5 (-19.25 + 31.5k) = 24.5 Solving -19.25 + 31.5k = 24.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19.25' to each side of the equation. -19.25 + 19.25 + 31.5k = 24.5 + 19.25 Combine like terms: -19.25 + 19.25 = 0.00 0.00 + 31.5k = 24.5 + 19.25 31.5k = 24.5 + 19.25 Combine like terms: 24.5 + 19.25 = 43.75 31.5k = 43.75 Divide each side by '31.5'. k = 1.388888889 Simplifying k = 1.388888889
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