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Simplifying 0.25q + 0.10(2q + 3) = 8.85 Reorder the terms: 0.25q + 0.10(3 + 2q) = 8.85 0.25q + (3 * 0.10 + 2q * 0.10) = 8.85 0.25q + (0.3 + 0.2q) = 8.85 Reorder the terms: 0.3 + 0.25q + 0.2q = 8.85 Combine like terms: 0.25q + 0.2q = 0.45q 0.3 + 0.45q = 8.85 Solving 0.3 + 0.45q = 8.85 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.45q = 8.85 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.45q = 8.85 + -0.3 0.45q = 8.85 + -0.3 Combine like terms: 8.85 + -0.3 = 8.55 0.45q = 8.55 Divide each side by '0.45'. q = 19 Simplifying q = 19
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