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Simplifying 11q + -2q = 3(2q + -3) Combine like terms: 11q + -2q = 9q 9q = 3(2q + -3) Reorder the terms: 9q = 3(-3 + 2q) 9q = (-3 * 3 + 2q * 3) 9q = (-9 + 6q) Solving 9q = -9 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 9q + -6q = -9 + 6q + -6q Combine like terms: 9q + -6q = 3q 3q = -9 + 6q + -6q Combine like terms: 6q + -6q = 0 3q = -9 + 0 3q = -9 Divide each side by '3'. q = -3 Simplifying q = -3
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