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Simplifying 3q + 11 = 8q + 36 Reorder the terms: 11 + 3q = 8q + 36 Reorder the terms: 11 + 3q = 36 + 8q Solving 11 + 3q = 36 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 11 + 3q + -8q = 36 + 8q + -8q Combine like terms: 3q + -8q = -5q 11 + -5q = 36 + 8q + -8q Combine like terms: 8q + -8q = 0 11 + -5q = 36 + 0 11 + -5q = 36 Add '-11' to each side of the equation. 11 + -11 + -5q = 36 + -11 Combine like terms: 11 + -11 = 0 0 + -5q = 36 + -11 -5q = 36 + -11 Combine like terms: 36 + -11 = 25 -5q = 25 Divide each side by '-5'. q = -5 Simplifying q = -5
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