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Simplifying 1 + 2q = 11 + -3q Solving 1 + 2q = 11 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 1 + 2q + 3q = 11 + -3q + 3q Combine like terms: 2q + 3q = 5q 1 + 5q = 11 + -3q + 3q Combine like terms: -3q + 3q = 0 1 + 5q = 11 + 0 1 + 5q = 11 Add '-1' to each side of the equation. 1 + -1 + 5q = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 5q = 11 + -1 5q = 11 + -1 Combine like terms: 11 + -1 = 10 5q = 10 Divide each side by '5'. q = 2 Simplifying q = 2
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