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Simplifying 3.2x + -1.7x + 5.5k = 100 Reorder the terms: 5.5k + 3.2x + -1.7x = 100 Combine like terms: 3.2x + -1.7x = 1.5x 5.5k + 1.5x = 100 Solving 5.5k + 1.5x = 100 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 5.5k + 1.5x + -1.5x = 100 + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 5.5k + 0.0 = 100 + -1.5x 5.5k = 100 + -1.5x Divide each side by '5.5'. k = 18.18181818 + -0.2727272727x Simplifying k = 18.18181818 + -0.2727272727x
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