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Simplifying 5(5.6q + 8.1) = 3(8 + 7.5q) Reorder the terms: 5(8.1 + 5.6q) = 3(8 + 7.5q) (8.1 * 5 + 5.6q * 5) = 3(8 + 7.5q) (40.5 + 28q) = 3(8 + 7.5q) 40.5 + 28q = (8 * 3 + 7.5q * 3) 40.5 + 28q = (24 + 22.5q) Solving 40.5 + 28q = 24 + 22.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-22.5q' to each side of the equation. 40.5 + 28q + -22.5q = 24 + 22.5q + -22.5q Combine like terms: 28q + -22.5q = 5.5q 40.5 + 5.5q = 24 + 22.5q + -22.5q Combine like terms: 22.5q + -22.5q = 0.0 40.5 + 5.5q = 24 + 0.0 40.5 + 5.5q = 24 Add '-40.5' to each side of the equation. 40.5 + -40.5 + 5.5q = 24 + -40.5 Combine like terms: 40.5 + -40.5 = 0.0 0.0 + 5.5q = 24 + -40.5 5.5q = 24 + -40.5 Combine like terms: 24 + -40.5 = -16.5 5.5q = -16.5 Divide each side by '5.5'. q = -3 Simplifying q = -3
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