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Simplifying 11q + -14 = 9q + 4 Reorder the terms: -14 + 11q = 9q + 4 Reorder the terms: -14 + 11q = 4 + 9q Solving -14 + 11q = 4 + 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. -14 + 11q + -9q = 4 + 9q + -9q Combine like terms: 11q + -9q = 2q -14 + 2q = 4 + 9q + -9q Combine like terms: 9q + -9q = 0 -14 + 2q = 4 + 0 -14 + 2q = 4 Add '14' to each side of the equation. -14 + 14 + 2q = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 2q = 4 + 14 2q = 4 + 14 Combine like terms: 4 + 14 = 18 2q = 18 Divide each side by '2'. q = 9 Simplifying q = 9
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