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Simplifying 7q + 6q + -20 = 20 + 11q Reorder the terms: -20 + 7q + 6q = 20 + 11q Combine like terms: 7q + 6q = 13q -20 + 13q = 20 + 11q Solving -20 + 13q = 20 + 11q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11q' to each side of the equation. -20 + 13q + -11q = 20 + 11q + -11q Combine like terms: 13q + -11q = 2q -20 + 2q = 20 + 11q + -11q Combine like terms: 11q + -11q = 0 -20 + 2q = 20 + 0 -20 + 2q = 20 Add '20' to each side of the equation. -20 + 20 + 2q = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 2q = 20 + 20 2q = 20 + 20 Combine like terms: 20 + 20 = 40 2q = 40 Divide each side by '2'. q = 20 Simplifying q = 20
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