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Simplifying 4q + 3 = 9q + -17 Reorder the terms: 3 + 4q = 9q + -17 Reorder the terms: 3 + 4q = -17 + 9q Solving 3 + 4q = -17 + 9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. 3 + 4q + -9q = -17 + 9q + -9q Combine like terms: 4q + -9q = -5q 3 + -5q = -17 + 9q + -9q Combine like terms: 9q + -9q = 0 3 + -5q = -17 + 0 3 + -5q = -17 Add '-3' to each side of the equation. 3 + -3 + -5q = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -5q = -17 + -3 -5q = -17 + -3 Combine like terms: -17 + -3 = -20 -5q = -20 Divide each side by '-5'. q = 4 Simplifying q = 4
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