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Simplifying 7q + 5 = 9q + 11 Reorder the terms: 5 + 7q = 9q + 11 Reorder the terms: 5 + 7q = 11 + 9q Solving 5 + 7q = 11 + 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. 5 + 7q + -9q = 11 + 9q + -9q Combine like terms: 7q + -9q = -2q 5 + -2q = 11 + 9q + -9q Combine like terms: 9q + -9q = 0 5 + -2q = 11 + 0 5 + -2q = 11 Add '-5' to each side of the equation. 5 + -5 + -2q = 11 + -5 Combine like terms: 5 + -5 = 0 0 + -2q = 11 + -5 -2q = 11 + -5 Combine like terms: 11 + -5 = 6 -2q = 6 Divide each side by '-2'. q = -3 Simplifying q = -3
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