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Simplifying 3q + 3 = 5q + 2 Reorder the terms: 3 + 3q = 5q + 2 Reorder the terms: 3 + 3q = 2 + 5q Solving 3 + 3q = 2 + 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. 3 + 3q + -5q = 2 + 5q + -5q Combine like terms: 3q + -5q = -2q 3 + -2q = 2 + 5q + -5q Combine like terms: 5q + -5q = 0 3 + -2q = 2 + 0 3 + -2q = 2 Add '-3' to each side of the equation. 3 + -3 + -2q = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -2q = 2 + -3 -2q = 2 + -3 Combine like terms: 2 + -3 = -1 -2q = -1 Divide each side by '-2'. q = 0.5 Simplifying q = 0.5
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