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Simplifying 3q + 2q + q + 9 = 45 Reorder the terms: 9 + 3q + 2q + q = 45 Combine like terms: 3q + 2q = 5q 9 + 5q + q = 45 Combine like terms: 5q + q = 6q 9 + 6q = 45 Solving 9 + 6q = 45 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6q = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 6q = 45 + -9 6q = 45 + -9 Combine like terms: 45 + -9 = 36 6q = 36 Divide each side by '6'. q = 6 Simplifying q = 6
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