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Simplifying 1 + 5q = 4q + 9 Reorder the terms: 1 + 5q = 9 + 4q Solving 1 + 5q = 9 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 1 + 5q + -4q = 9 + 4q + -4q Combine like terms: 5q + -4q = 1q 1 + 1q = 9 + 4q + -4q Combine like terms: 4q + -4q = 0 1 + 1q = 9 + 0 1 + 1q = 9 Add '-1' to each side of the equation. 1 + -1 + 1q = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1q = 9 + -1 1q = 9 + -1 Combine like terms: 9 + -1 = 8 1q = 8 Divide each side by '1'. q = 8 Simplifying q = 8
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