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Simplifying 3(2q + 1) = 17 + -1q Reorder the terms: 3(1 + 2q) = 17 + -1q (1 * 3 + 2q * 3) = 17 + -1q (3 + 6q) = 17 + -1q Solving 3 + 6q = 17 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. 3 + 6q + q = 17 + -1q + q Combine like terms: 6q + q = 7q 3 + 7q = 17 + -1q + q Combine like terms: -1q + q = 0 3 + 7q = 17 + 0 3 + 7q = 17 Add '-3' to each side of the equation. 3 + -3 + 7q = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 7q = 17 + -3 7q = 17 + -3 Combine like terms: 17 + -3 = 14 7q = 14 Divide each side by '7'. q = 2 Simplifying q = 2
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