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Simplifying 11q + -6 = 9q + 5 Reorder the terms: -6 + 11q = 9q + 5 Reorder the terms: -6 + 11q = 5 + 9q Solving -6 + 11q = 5 + 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. -6 + 11q + -9q = 5 + 9q + -9q Combine like terms: 11q + -9q = 2q -6 + 2q = 5 + 9q + -9q Combine like terms: 9q + -9q = 0 -6 + 2q = 5 + 0 -6 + 2q = 5 Add '6' to each side of the equation. -6 + 6 + 2q = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 2q = 5 + 6 2q = 5 + 6 Combine like terms: 5 + 6 = 11 2q = 11 Divide each side by '2'. q = 5.5 Simplifying q = 5.5
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