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Simplifying -4k + 2 + -5.5k = -17.5 Reorder the terms: 2 + -4k + -5.5k = -17.5 Combine like terms: -4k + -5.5k = -9.5k 2 + -9.5k = -17.5 Solving 2 + -9.5k = -17.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9.5k = -17.5 + -2 Combine like terms: 2 + -2 = 0 0 + -9.5k = -17.5 + -2 -9.5k = -17.5 + -2 Combine like terms: -17.5 + -2 = -19.5 -9.5k = -19.5 Divide each side by '-9.5'. k = 2.052631579 Simplifying k = 2.052631579
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