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Simplifying 2q + 3 = -9 + 9q + -5q Reorder the terms: 3 + 2q = -9 + 9q + -5q Combine like terms: 9q + -5q = 4q 3 + 2q = -9 + 4q Solving 3 + 2q = -9 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 3 + 2q + -4q = -9 + 4q + -4q Combine like terms: 2q + -4q = -2q 3 + -2q = -9 + 4q + -4q Combine like terms: 4q + -4q = 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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