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Simplifying 3q + 2 = 5q + -6 Reorder the terms: 2 + 3q = 5q + -6 Reorder the terms: 2 + 3q = -6 + 5q Solving 2 + 3q = -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 + 3q + -5q = -6 + 5q + -5q Combine like terms: 3q + -5q = -2q 2 + -2q = -6 + 5q + -5q Combine like terms: 5q + -5q = 0 2 + -2q = -6 + 0 2 + -2q = -6 Add '-2' to each side of the equation. 2 + -2 + -2q = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -2q = -6 + -2 -2q = -6 + -2 Combine like terms: -6 + -2 = -8 -2q = -8 Divide each side by '-2'. q = 4 Simplifying q = 4
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