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Simplifying 30 + 2k + -1.7x + 5.5 = 10 Reorder the terms: 30 + 5.5 + 2k + -1.7x = 10 Combine like terms: 30 + 5.5 = 35.5 35.5 + 2k + -1.7x = 10 Solving 35.5 + 2k + -1.7x = 10 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35.5' to each side of the equation. 35.5 + 2k + -35.5 + -1.7x = 10 + -35.5 Reorder the terms: 35.5 + -35.5 + 2k + -1.7x = 10 + -35.5 Combine like terms: 35.5 + -35.5 = 0.0 0.0 + 2k + -1.7x = 10 + -35.5 2k + -1.7x = 10 + -35.5 Combine like terms: 10 + -35.5 = -25.5 2k + -1.7x = -25.5 Add '1.7x' to each side of the equation. 2k + -1.7x + 1.7x = -25.5 + 1.7x Combine like terms: -1.7x + 1.7x = 0.0 2k + 0.0 = -25.5 + 1.7x 2k = -25.5 + 1.7x Divide each side by '2'. k = -12.75 + 0.85x Simplifying k = -12.75 + 0.85x
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