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Simplifying 2q + 11 + 15 = 22 + q + 20 Reorder the terms: 11 + 15 + 2q = 22 + q + 20 Combine like terms: 11 + 15 = 26 26 + 2q = 22 + q + 20 Reorder the terms: 26 + 2q = 22 + 20 + q Combine like terms: 22 + 20 = 42 26 + 2q = 42 + q Solving 26 + 2q = 42 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 26 + 2q + -1q = 42 + q + -1q Combine like terms: 2q + -1q = 1q 26 + 1q = 42 + q + -1q Combine like terms: q + -1q = 0 26 + 1q = 42 + 0 26 + 1q = 42 Add '-26' to each side of the equation. 26 + -26 + 1q = 42 + -26 Combine like terms: 26 + -26 = 0 0 + 1q = 42 + -26 1q = 42 + -26 Combine like terms: 42 + -26 = 16 1q = 16 Divide each side by '1'. q = 16 Simplifying q = 16
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