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Simplifying 5q + -11 = 3q + 5 Reorder the terms: -11 + 5q = 3q + 5 Reorder the terms: -11 + 5q = 5 + 3q Solving -11 + 5q = 5 + 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. -11 + 5q + -3q = 5 + 3q + -3q Combine like terms: 5q + -3q = 2q -11 + 2q = 5 + 3q + -3q Combine like terms: 3q + -3q = 0 -11 + 2q = 5 + 0 -11 + 2q = 5 Add '11' to each side of the equation. -11 + 11 + 2q = 5 + 11 Combine like terms: -11 + 11 = 0 0 + 2q = 5 + 11 2q = 5 + 11 Combine like terms: 5 + 11 = 16 2q = 16 Divide each side by '2'. q = 8 Simplifying q = 8
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