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Simplifying 3(3q + -2) = (2q + 5) Reorder the terms: 3(-2 + 3q) = (2q + 5) (-2 * 3 + 3q * 3) = (2q + 5) (-6 + 9q) = (2q + 5) Reorder the terms: -6 + 9q = (5 + 2q) Remove parenthesis around (5 + 2q) -6 + 9q = 5 + 2q Solving -6 + 9q = 5 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -6 + 9q + -2q = 5 + 2q + -2q Combine like terms: 9q + -2q = 7q -6 + 7q = 5 + 2q + -2q Combine like terms: 2q + -2q = 0 -6 + 7q = 5 + 0 -6 + 7q = 5 Add '6' to each side of the equation. -6 + 6 + 7q = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 7q = 5 + 6 7q = 5 + 6 Combine like terms: 5 + 6 = 11 7q = 11 Divide each side by '7'. q = 1.571428571 Simplifying q = 1.571428571
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