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Simplifying 3(5q + -3) = 2(4q + 5) Reorder the terms: 3(-3 + 5q) = 2(4q + 5) (-3 * 3 + 5q * 3) = 2(4q + 5) (-9 + 15q) = 2(4q + 5) Reorder the terms: -9 + 15q = 2(5 + 4q) -9 + 15q = (5 * 2 + 4q * 2) -9 + 15q = (10 + 8q) Solving -9 + 15q = 10 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -9 + 15q + -8q = 10 + 8q + -8q Combine like terms: 15q + -8q = 7q -9 + 7q = 10 + 8q + -8q Combine like terms: 8q + -8q = 0 -9 + 7q = 10 + 0 -9 + 7q = 10 Add '9' to each side of the equation. -9 + 9 + 7q = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 7q = 10 + 9 7q = 10 + 9 Combine like terms: 10 + 9 = 19 7q = 19 Divide each side by '7'. q = 2.714285714 Simplifying q = 2.714285714
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