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Simplifying 11 + 8q = 3q + -9 Reorder the terms: 11 + 8q = -9 + 3q Solving 11 + 8q = -9 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 11 + 8q + -3q = -9 + 3q + -3q Combine like terms: 8q + -3q = 5q 11 + 5q = -9 + 3q + -3q Combine like terms: 3q + -3q = 0 11 + 5q = -9 + 0 11 + 5q = -9 Add '-11' to each side of the equation. 11 + -11 + 5q = -9 + -11 Combine like terms: 11 + -11 = 0 0 + 5q = -9 + -11 5q = -9 + -11 Combine like terms: -9 + -11 = -20 5q = -20 Divide each side by '5'. q = -4 Simplifying q = -4
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