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Simplifying 3(3q + -3) = 2(2q + 5) Reorder the terms: 3(-3 + 3q) = 2(2q + 5) (-3 * 3 + 3q * 3) = 2(2q + 5) (-9 + 9q) = 2(2q + 5) Reorder the terms: -9 + 9q = 2(5 + 2q) -9 + 9q = (5 * 2 + 2q * 2) -9 + 9q = (10 + 4q) Solving -9 + 9q = 10 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -9 + 9q + -4q = 10 + 4q + -4q Combine like terms: 9q + -4q = 5q -9 + 5q = 10 + 4q + -4q Combine like terms: 4q + -4q = 0 -9 + 5q = 10 + 0 -9 + 5q = 10 Add '9' to each side of the equation. -9 + 9 + 5q = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 5q = 10 + 9 5q = 10 + 9 Combine like terms: 10 + 9 = 19 5q = 19 Divide each side by '5'. q = 3.8 Simplifying q = 3.8
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