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Simplifying 11q + 19 = -12 + -5 + 9q Reorder the terms: 19 + 11q = -12 + -5 + 9q Combine like terms: -12 + -5 = -17 19 + 11q = -17 + 9q Solving 19 + 11q = -17 + 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. 19 + 11q + -9q = -17 + 9q + -9q Combine like terms: 11q + -9q = 2q 19 + 2q = -17 + 9q + -9q Combine like terms: 9q + -9q = 0 19 + 2q = -17 + 0 19 + 2q = -17 Add '-19' to each side of the equation. 19 + -19 + 2q = -17 + -19 Combine like terms: 19 + -19 = 0 0 + 2q = -17 + -19 2q = -17 + -19 Combine like terms: -17 + -19 = -36 2q = -36 Divide each side by '2'. q = -18 Simplifying q = -18
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