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Simplifying 0.25 + 0.10(2q + 5) = 11.75 Reorder the terms: 0.25 + 0.10(5 + 2q) = 11.75 0.25 + (5 * 0.10 + 2q * 0.10) = 11.75 0.25 + (0.5 + 0.2q) = 11.75 Combine like terms: 0.25 + 0.5 = 0.75 0.75 + 0.2q = 11.75 Solving 0.75 + 0.2q = 11.75 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + 0.2q = 11.75 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.2q = 11.75 + -0.75 0.2q = 11.75 + -0.75 Combine like terms: 11.75 + -0.75 = 11 0.2q = 11 Divide each side by '0.2'. q = 55 Simplifying q = 55
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