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Simplifying 7q + 2 = 5q + 8 Reorder the terms: 2 + 7q = 5q + 8 Reorder the terms: 2 + 7q = 8 + 5q Solving 2 + 7q = 8 + 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 + 7q + -5q = 8 + 5q + -5q Combine like terms: 7q + -5q = 2q 2 + 2q = 8 + 5q + -5q Combine like terms: 5q + -5q = 0 2 + 2q = 8 + 0 2 + 2q = 8 Add '-2' to each side of the equation. 2 + -2 + 2q = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2q = 8 + -2 2q = 8 + -2 Combine like terms: 8 + -2 = 6 2q = 6 Divide each side by '2'. q = 3 Simplifying q = 3
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