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Simplifying 3(q + 1) = 23 + -2q Reorder the terms: 3(1 + q) = 23 + -2q (1 * 3 + q * 3) = 23 + -2q (3 + 3q) = 23 + -2q Solving 3 + 3q = 23 + -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. 3 + 3q + 2q = 23 + -2q + 2q Combine like terms: 3q + 2q = 5q 3 + 5q = 23 + -2q + 2q Combine like terms: -2q + 2q = 0 3 + 5q = 23 + 0 3 + 5q = 23 Add '-3' to each side of the equation. 3 + -3 + 5q = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 5q = 23 + -3 5q = 23 + -3 Combine like terms: 23 + -3 = 20 5q = 20 Divide each side by '5'. q = 4 Simplifying q = 4
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