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Simplifying 5(q + 3) + 2(2q + -5) = 25 Reorder the terms: 5(3 + q) + 2(2q + -5) = 25 (3 * 5 + q * 5) + 2(2q + -5) = 25 (15 + 5q) + 2(2q + -5) = 25 Reorder the terms: 15 + 5q + 2(-5 + 2q) = 25 15 + 5q + (-5 * 2 + 2q * 2) = 25 15 + 5q + (-10 + 4q) = 25 Reorder the terms: 15 + -10 + 5q + 4q = 25 Combine like terms: 15 + -10 = 5 5 + 5q + 4q = 25 Combine like terms: 5q + 4q = 9q 5 + 9q = 25 Solving 5 + 9q = 25 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9q = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 9q = 25 + -5 9q = 25 + -5 Combine like terms: 25 + -5 = 20 9q = 20 Divide each side by '9'. q = 2.222222222 Simplifying q = 2.222222222
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