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Simplifying 2 + 2q = 12 + -3q Solving 2 + 2q = 12 + -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. 2 + 2q + 3q = 12 + -3q + 3q Combine like terms: 2q + 3q = 5q 2 + 5q = 12 + -3q + 3q Combine like terms: -3q + 3q = 0 2 + 5q = 12 + 0 2 + 5q = 12 Add '-2' to each side of the equation. 2 + -2 + 5q = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5q = 12 + -2 5q = 12 + -2 Combine like terms: 12 + -2 = 10 5q = 10 Divide each side by '5'. q = 2 Simplifying q = 2
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