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Simplifying 3(5q + -2) = 2(4q + 7) Reorder the terms: 3(-2 + 5q) = 2(4q + 7) (-2 * 3 + 5q * 3) = 2(4q + 7) (-6 + 15q) = 2(4q + 7) Reorder the terms: -6 + 15q = 2(7 + 4q) -6 + 15q = (7 * 2 + 4q * 2) -6 + 15q = (14 + 8q) Solving -6 + 15q = 14 + 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. -6 + 15q + -8q = 14 + 8q + -8q Combine like terms: 15q + -8q = 7q -6 + 7q = 14 + 8q + -8q Combine like terms: 8q + -8q = 0 -6 + 7q = 14 + 0 -6 + 7q = 14 Add '6' to each side of the equation. -6 + 6 + 7q = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 7q = 14 + 6 7q = 14 + 6 Combine like terms: 14 + 6 = 20 7q = 20 Divide each side by '7'. q = 2.857142857 Simplifying q = 2.857142857
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