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Simplifying 3q + 5 = -2q + 20 Reorder the terms: 5 + 3q = -2q + 20 Reorder the terms: 5 + 3q = 20 + -2q Solving 5 + 3q = 20 + -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. 5 + 3q + 2q = 20 + -2q + 2q Combine like terms: 3q + 2q = 5q 5 + 5q = 20 + -2q + 2q Combine like terms: -2q + 2q = 0 5 + 5q = 20 + 0 5 + 5q = 20 Add '-5' to each side of the equation. 5 + -5 + 5q = 20 + -5 Combine like terms: 5 + -5 = 0 0 + 5q = 20 + -5 5q = 20 + -5 Combine like terms: 20 + -5 = 15 5q = 15 Divide each side by '5'. q = 3 Simplifying q = 3
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