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Simplifying -7.5k + 9.5 + 3k = -17.5 Reorder the terms: 9.5 + -7.5k + 3k = -17.5 Combine like terms: -7.5k + 3k = -4.5k 9.5 + -4.5k = -17.5 Solving 9.5 + -4.5k = -17.5 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 + -4.5k = -17.5 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + -4.5k = -17.5 + -9.5 -4.5k = -17.5 + -9.5 Combine like terms: -17.5 + -9.5 = -27 -4.5k = -27 Divide each side by '-4.5'. k = 6 Simplifying k = 6
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