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Simplifying 4q + -3 + 7q + 5 = 5q + 20 Reorder the terms: -3 + 5 + 4q + 7q = 5q + 20 Combine like terms: -3 + 5 = 2 2 + 4q + 7q = 5q + 20 Combine like terms: 4q + 7q = 11q 2 + 11q = 5q + 20 Reorder the terms: 2 + 11q = 20 + 5q Solving 2 + 11q = 20 + 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 + 11q + -5q = 20 + 5q + -5q Combine like terms: 11q + -5q = 6q 2 + 6q = 20 + 5q + -5q Combine like terms: 5q + -5q = 0 2 + 6q = 20 + 0 2 + 6q = 20 Add '-2' to each side of the equation. 2 + -2 + 6q = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 6q = 20 + -2 6q = 20 + -2 Combine like terms: 20 + -2 = 18 6q = 18 Divide each side by '6'. q = 3 Simplifying q = 3
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