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Simplifying 7.5k + -9 + -5.5k = -20.5 Reorder the terms: -9 + 7.5k + -5.5k = -20.5 Combine like terms: 7.5k + -5.5k = 2k -9 + 2k = -20.5 Solving -9 + 2k = -20.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2k = -20.5 + 9 Combine like terms: -9 + 9 = 0 0 + 2k = -20.5 + 9 2k = -20.5 + 9 Combine like terms: -20.5 + 9 = -11.5 2k = -11.5 Divide each side by '2'. k = -5.75 Simplifying k = -5.75
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