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Simplifying 3 + 4q = 2q + -9 Reorder the terms: 3 + 4q = -9 + 2q Solving 3 + 4q = -9 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 3 + 4q + -2q = -9 + 2q + -2q Combine like terms: 4q + -2q = 2q 3 + 2q = -9 + 2q + -2q Combine like terms: 2q + -2q = 0 3 + 2q = -9 + 0 3 + 2q = -9 Add '-3' to each side of the equation. 3 + -3 + 2q = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 2q = -9 + -3 2q = -9 + -3 Combine like terms: -9 + -3 = -12 2q = -12 Divide each side by '2'. q = -6 Simplifying q = -6
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