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Simplifying 7.5(q + 16) = 29.25 Reorder the terms: 7.5(16 + q) = 29.25 (16 * 7.5 + q * 7.5) = 29.25 (120 + 7.5q) = 29.25 Solving 120 + 7.5q = 29.25 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 7.5q = 29.25 + -120 Combine like terms: 120 + -120 = 0 0 + 7.5q = 29.25 + -120 7.5q = 29.25 + -120 Combine like terms: 29.25 + -120 = -90.75 7.5q = -90.75 Divide each side by '7.5'. q = -12.1 Simplifying q = -12.1
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