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Simplifying 7q + 17 = 5q + 33 Reorder the terms: 17 + 7q = 5q + 33 Reorder the terms: 17 + 7q = 33 + 5q Solving 17 + 7q = 33 + 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. 17 + 7q + -5q = 33 + 5q + -5q Combine like terms: 7q + -5q = 2q 17 + 2q = 33 + 5q + -5q Combine like terms: 5q + -5q = 0 17 + 2q = 33 + 0 17 + 2q = 33 Add '-17' to each side of the equation. 17 + -17 + 2q = 33 + -17 Combine like terms: 17 + -17 = 0 0 + 2q = 33 + -17 2q = 33 + -17 Combine like terms: 33 + -17 = 16 2q = 16 Divide each side by '2'. q = 8 Simplifying q = 8
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