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Simplifying 2.58q + 34.23 = 42.1 + -1.42q Reorder the terms: 34.23 + 2.58q = 42.1 + -1.42q Solving 34.23 + 2.58q = 42.1 + -1.42q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.42q' to each side of the equation. 34.23 + 2.58q + 1.42q = 42.1 + -1.42q + 1.42q Combine like terms: 2.58q + 1.42q = 4q 34.23 + 4q = 42.1 + -1.42q + 1.42q Combine like terms: -1.42q + 1.42q = 0.00 34.23 + 4q = 42.1 + 0.00 34.23 + 4q = 42.1 Add '-34.23' to each side of the equation. 34.23 + -34.23 + 4q = 42.1 + -34.23 Combine like terms: 34.23 + -34.23 = 0.00 0.00 + 4q = 42.1 + -34.23 4q = 42.1 + -34.23 Combine like terms: 42.1 + -34.23 = 7.87 4q = 7.87 Divide each side by '4'. q = 1.9675 Simplifying q = 1.9675
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