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Simplifying 0.25q + 0.10(2q + 4) = 10.75 Reorder the terms: 0.25q + 0.10(4 + 2q) = 10.75 0.25q + (4 * 0.10 + 2q * 0.10) = 10.75 0.25q + (0.4 + 0.2q) = 10.75 Reorder the terms: 0.4 + 0.25q + 0.2q = 10.75 Combine like terms: 0.25q + 0.2q = 0.45q 0.4 + 0.45q = 10.75 Solving 0.4 + 0.45q = 10.75 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.45q = 10.75 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.45q = 10.75 + -0.4 0.45q = 10.75 + -0.4 Combine like terms: 10.75 + -0.4 = 10.35 0.45q = 10.35 Divide each side by '0.45'. q = 23 Simplifying q = 23
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