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Simplifying 9q + 1 = 5q + 9 Reorder the terms: 1 + 9q = 5q + 9 Reorder the terms: 1 + 9q = 9 + 5q Solving 1 + 9q = 9 + 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. 1 + 9q + -5q = 9 + 5q + -5q Combine like terms: 9q + -5q = 4q 1 + 4q = 9 + 5q + -5q Combine like terms: 5q + -5q = 0 1 + 4q = 9 + 0 1 + 4q = 9 Add '-1' to each side of the equation. 1 + -1 + 4q = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4q = 9 + -1 4q = 9 + -1 Combine like terms: 9 + -1 = 8 4q = 8 Divide each side by '4'. q = 2 Simplifying q = 2
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