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Simplifying 7q + -9 = 2q + 11 Reorder the terms: -9 + 7q = 2q + 11 Reorder the terms: -9 + 7q = 11 + 2q Solving -9 + 7q = 11 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -9 + 7q + -2q = 11 + 2q + -2q Combine like terms: 7q + -2q = 5q -9 + 5q = 11 + 2q + -2q Combine like terms: 2q + -2q = 0 -9 + 5q = 11 + 0 -9 + 5q = 11 Add '9' to each side of the equation. -9 + 9 + 5q = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 5q = 11 + 9 5q = 11 + 9 Combine like terms: 11 + 9 = 20 5q = 20 Divide each side by '5'. q = 4 Simplifying q = 4
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