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Simplifying 9q + 7 = 4q + -13 Reorder the terms: 7 + 9q = 4q + -13 Reorder the terms: 7 + 9q = -13 + 4q Solving 7 + 9q = -13 + 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. 7 + 9q + -4q = -13 + 4q + -4q Combine like terms: 9q + -4q = 5q 7 + 5q = -13 + 4q + -4q Combine like terms: 4q + -4q = 0 7 + 5q = -13 + 0 7 + 5q = -13 Add '-7' to each side of the equation. 7 + -7 + 5q = -13 + -7 Combine like terms: 7 + -7 = 0 0 + 5q = -13 + -7 5q = -13 + -7 Combine like terms: -13 + -7 = -20 5q = -20 Divide each side by '5'. q = -4 Simplifying q = -4
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