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Simplifying 11q + 12 = 9q + -32 Reorder the terms: 12 + 11q = 9q + -32 Reorder the terms: 12 + 11q = -32 + 9q Solving 12 + 11q = -32 + 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. 12 + 11q + -9q = -32 + 9q + -9q Combine like terms: 11q + -9q = 2q 12 + 2q = -32 + 9q + -9q Combine like terms: 9q + -9q = 0 12 + 2q = -32 + 0 12 + 2q = -32 Add '-12' to each side of the equation. 12 + -12 + 2q = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 2q = -32 + -12 2q = -32 + -12 Combine like terms: -32 + -12 = -44 2q = -44 Divide each side by '2'. q = -22 Simplifying q = -22
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