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Simplifying 25q + 5(q + 12) = 270 Reorder the terms: 25q + 5(12 + q) = 270 25q + (12 * 5 + q * 5) = 270 25q + (60 + 5q) = 270 Reorder the terms: 60 + 25q + 5q = 270 Combine like terms: 25q + 5q = 30q 60 + 30q = 270 Solving 60 + 30q = 270 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 30q = 270 + -60 Combine like terms: 60 + -60 = 0 0 + 30q = 270 + -60 30q = 270 + -60 Combine like terms: 270 + -60 = 210 30q = 210 Divide each side by '30'. q = 7 Simplifying q = 7
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