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Simplifying 2(3q + 5) = q Reorder the terms: 2(5 + 3q) = q (5 * 2 + 3q * 2) = q (10 + 6q) = q Solving 10 + 6q = q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 10 + 6q + -1q = q + -1q Combine like terms: 6q + -1q = 5q 10 + 5q = q + -1q Combine like terms: q + -1q = 0 10 + 5q = 0 Add '-10' to each side of the equation. 10 + -10 + 5q = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5q = 0 + -10 5q = 0 + -10 Combine like terms: 0 + -10 = -10 5q = -10 Divide each side by '5'. q = -2 Simplifying q = -2
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