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Simplifying 5(12 + -1q) + 60 = 25q (12 * 5 + -1q * 5) + 60 = 25q (60 + -5q) + 60 = 25q Reorder the terms: 60 + 60 + -5q = 25q Combine like terms: 60 + 60 = 120 120 + -5q = 25q Solving 120 + -5q = 25q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-25q' to each side of the equation. 120 + -5q + -25q = 25q + -25q Combine like terms: -5q + -25q = -30q 120 + -30q = 25q + -25q Combine like terms: 25q + -25q = 0 120 + -30q = 0 Add '-120' to each side of the equation. 120 + -120 + -30q = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -30q = 0 + -120 -30q = 0 + -120 Combine like terms: 0 + -120 = -120 -30q = -120 Divide each side by '-30'. q = 4 Simplifying q = 4
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