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Simplifying -9(5 + -5.5k) = 26.5 (5 * -9 + -5.5k * -9) = 26.5 (-45 + 49.5k) = 26.5 Solving -45 + 49.5k = 26.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 49.5k = 26.5 + 45 Combine like terms: -45 + 45 = 0 0 + 49.5k = 26.5 + 45 49.5k = 26.5 + 45 Combine like terms: 26.5 + 45 = 71.5 49.5k = 71.5 Divide each side by '49.5'. k = 1.444444444 Simplifying k = 1.444444444
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