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Simplifying -9 + 3q + 3 = -2q + 9 Reorder the terms: -9 + 3 + 3q = -2q + 9 Combine like terms: -9 + 3 = -6 -6 + 3q = -2q + 9 Reorder the terms: -6 + 3q = 9 + -2q Solving -6 + 3q = 9 + -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 + 3q + 2q = 9 + -2q + 2q Combine like terms: 3q + 2q = 5q -6 + 5q = 9 + -2q + 2q Combine like terms: -2q + 2q = 0 -6 + 5q = 9 + 0 -6 + 5q = 9 Add '6' to each side of the equation. -6 + 6 + 5q = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5q = 9 + 6 5q = 9 + 6 Combine like terms: 9 + 6 = 15 5q = 15 Divide each side by '5'. q = 3 Simplifying q = 3
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