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Simplifying 2(3q + 1) = 5q + -3 Reorder the terms: 2(1 + 3q) = 5q + -3 (1 * 2 + 3q * 2) = 5q + -3 (2 + 6q) = 5q + -3 Reorder the terms: 2 + 6q = -3 + 5q Solving 2 + 6q = -3 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 2 + 6q + -5q = -3 + 5q + -5q Combine like terms: 6q + -5q = 1q 2 + 1q = -3 + 5q + -5q Combine like terms: 5q + -5q = 0 2 + 1q = -3 + 0 2 + 1q = -3 Add '-2' to each side of the equation. 2 + -2 + 1q = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 1q = -3 + -2 1q = -3 + -2 Combine like terms: -3 + -2 = -5 1q = -5 Divide each side by '1'. q = -5 Simplifying q = -5
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