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Simplifying 2(2q + 1) + 3q = 9 Reorder the terms: 2(1 + 2q) + 3q = 9 (1 * 2 + 2q * 2) + 3q = 9 (2 + 4q) + 3q = 9 Combine like terms: 4q + 3q = 7q 2 + 7q = 9 Solving 2 + 7q = 9 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7q = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 7q = 9 + -2 7q = 9 + -2 Combine like terms: 9 + -2 = 7 7q = 7 Divide each side by '7'. q = 1 Simplifying q = 1
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