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Simplifying 1.5(3q + 6) = 8 Reorder the terms: 1.5(6 + 3q) = 8 (6 * 1.5 + 3q * 1.5) = 8 (9 + 4.5q) = 8 Solving 9 + 4.5q = 8 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4.5q = 8 + -9 Combine like terms: 9 + -9 = 0 0 + 4.5q = 8 + -9 4.5q = 8 + -9 Combine like terms: 8 + -9 = -1 4.5q = -1 Divide each side by '4.5'. q = -0.2222222222 Simplifying q = -0.2222222222
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