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Simplifying 6q + 2 = 5q + 7 Reorder the terms: 2 + 6q = 5q + 7 Reorder the terms: 2 + 6q = 7 + 5q Solving 2 + 6q = 7 + 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 + 6q + -5q = 7 + 5q + -5q Combine like terms: 6q + -5q = 1q 2 + 1q = 7 + 5q + -5q Combine like terms: 5q + -5q = 0 2 + 1q = 7 + 0 2 + 1q = 7 Add '-2' to each side of the equation. 2 + -2 + 1q = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 1q = 7 + -2 1q = 7 + -2 Combine like terms: 7 + -2 = 5 1q = 5 Divide each side by '1'. q = 5 Simplifying q = 5
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