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Simplifying 2q + -6 = 9 + -3q Reorder the terms: -6 + 2q = 9 + -3q Solving -6 + 2q = 9 + -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. -6 + 2q + 3q = 9 + -3q + 3q Combine like terms: 2q + 3q = 5q -6 + 5q = 9 + -3q + 3q Combine like terms: -3q + 3q = 0 -6 + 5q = 9 + 0 -6 + 5q = 9 Add '6' to each side of the equation. -6 + 6 + 5q = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5q = 9 + 6 5q = 9 + 6 Combine like terms: 9 + 6 = 15 5q = 15 Divide each side by '5'. q = 3 Simplifying q = 3
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