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Simplifying 11q + 16 = 2q + 7 Reorder the terms: 16 + 11q = 2q + 7 Reorder the terms: 16 + 11q = 7 + 2q Solving 16 + 11q = 7 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 16 + 11q + -2q = 7 + 2q + -2q Combine like terms: 11q + -2q = 9q 16 + 9q = 7 + 2q + -2q Combine like terms: 2q + -2q = 0 16 + 9q = 7 + 0 16 + 9q = 7 Add '-16' to each side of the equation. 16 + -16 + 9q = 7 + -16 Combine like terms: 16 + -16 = 0 0 + 9q = 7 + -16 9q = 7 + -16 Combine like terms: 7 + -16 = -9 9q = -9 Divide each side by '9'. q = -1 Simplifying q = -1
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