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Simplifying 25q + 10(30 + -1q) = 345 25q + (30 * 10 + -1q * 10) = 345 25q + (300 + -10q) = 345 Reorder the terms: 300 + 25q + -10q = 345 Combine like terms: 25q + -10q = 15q 300 + 15q = 345 Solving 300 + 15q = 345 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + -300 + 15q = 345 + -300 Combine like terms: 300 + -300 = 0 0 + 15q = 345 + -300 15q = 345 + -300 Combine like terms: 345 + -300 = 45 15q = 45 Divide each side by '15'. q = 3 Simplifying q = 3
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