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Simplifying q + -2 + 3q = 6 + 5q Reorder the terms: -2 + q + 3q = 6 + 5q Combine like terms: q + 3q = 4q -2 + 4q = 6 + 5q Solving -2 + 4q = 6 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. -2 + 4q + -5q = 6 + 5q + -5q Combine like terms: 4q + -5q = -1q -2 + -1q = 6 + 5q + -5q Combine like terms: 5q + -5q = 0 -2 + -1q = 6 + 0 -2 + -1q = 6 Add '2' to each side of the equation. -2 + 2 + -1q = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -1q = 6 + 2 -1q = 6 + 2 Combine like terms: 6 + 2 = 8 -1q = 8 Divide each side by '-1'. q = -8 Simplifying q = -8
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