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Simplifying 5q + 49 = 4q + 50 Reorder the terms: 49 + 5q = 4q + 50 Reorder the terms: 49 + 5q = 50 + 4q Solving 49 + 5q = 50 + 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. 49 + 5q + -4q = 50 + 4q + -4q Combine like terms: 5q + -4q = 1q 49 + 1q = 50 + 4q + -4q Combine like terms: 4q + -4q = 0 49 + 1q = 50 + 0 49 + 1q = 50 Add '-49' to each side of the equation. 49 + -49 + 1q = 50 + -49 Combine like terms: 49 + -49 = 0 0 + 1q = 50 + -49 1q = 50 + -49 Combine like terms: 50 + -49 = 1 1q = 1 Divide each side by '1'. q = 1 Simplifying q = 1
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