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Simplifying -8.5k + 9.5 + -7k = 17.5 Reorder the terms: 9.5 + -8.5k + -7k = 17.5 Combine like terms: -8.5k + -7k = -15.5k 9.5 + -15.5k = 17.5 Solving 9.5 + -15.5k = 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 + -15.5k = 17.5 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + -15.5k = 17.5 + -9.5 -15.5k = 17.5 + -9.5 Combine like terms: 17.5 + -9.5 = 8 -15.5k = 8 Divide each side by '-15.5'. k = -0.5161290323 Simplifying k = -0.5161290323
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