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Simplifying q + 41 + q + 39 = 9q + -46 Reorder the terms: 41 + 39 + q + q = 9q + -46 Combine like terms: 41 + 39 = 80 80 + q + q = 9q + -46 Combine like terms: q + q = 2q 80 + 2q = 9q + -46 Reorder the terms: 80 + 2q = -46 + 9q Solving 80 + 2q = -46 + 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. 80 + 2q + -9q = -46 + 9q + -9q Combine like terms: 2q + -9q = -7q 80 + -7q = -46 + 9q + -9q Combine like terms: 9q + -9q = 0 80 + -7q = -46 + 0 80 + -7q = -46 Add '-80' to each side of the equation. 80 + -80 + -7q = -46 + -80 Combine like terms: 80 + -80 = 0 0 + -7q = -46 + -80 -7q = -46 + -80 Combine like terms: -46 + -80 = -126 -7q = -126 Divide each side by '-7'. q = 18 Simplifying q = 18
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