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Simplifying 5q + 3 = 3(2q + 3) Reorder the terms: 3 + 5q = 3(2q + 3) Reorder the terms: 3 + 5q = 3(3 + 2q) 3 + 5q = (3 * 3 + 2q * 3) 3 + 5q = (9 + 6q) Solving 3 + 5q = 9 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 3 + 5q + -6q = 9 + 6q + -6q Combine like terms: 5q + -6q = -1q 3 + -1q = 9 + 6q + -6q Combine like terms: 6q + -6q = 0 3 + -1q = 9 + 0 3 + -1q = 9 Add '-3' to each side of the equation. 3 + -3 + -1q = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -1q = 9 + -3 -1q = 9 + -3 Combine like terms: 9 + -3 = 6 -1q = 6 Divide each side by '-1'. q = -6 Simplifying q = -6
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