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Simplifying 2q + -3(2q + -5) = 5(q + 2) Reorder the terms: 2q + -3(-5 + 2q) = 5(q + 2) 2q + (-5 * -3 + 2q * -3) = 5(q + 2) 2q + (15 + -6q) = 5(q + 2) Reorder the terms: 15 + 2q + -6q = 5(q + 2) Combine like terms: 2q + -6q = -4q 15 + -4q = 5(q + 2) Reorder the terms: 15 + -4q = 5(2 + q) 15 + -4q = (2 * 5 + q * 5) 15 + -4q = (10 + 5q) Solving 15 + -4q = 10 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 15 + -4q + -5q = 10 + 5q + -5q Combine like terms: -4q + -5q = -9q 15 + -9q = 10 + 5q + -5q Combine like terms: 5q + -5q = 0 15 + -9q = 10 + 0 15 + -9q = 10 Add '-15' to each side of the equation. 15 + -15 + -9q = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -9q = 10 + -15 -9q = 10 + -15 Combine like terms: 10 + -15 = -5 -9q = -5 Divide each side by '-9'. q = 0.5555555556 Simplifying q = 0.5555555556
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