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Simplifying 2q + -9 = -4q + 9 Reorder the terms: -9 + 2q = -4q + 9 Reorder the terms: -9 + 2q = 9 + -4q Solving -9 + 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. -9 + 2q + 4q = 9 + -4q + 4q Combine like terms: 2q + 4q = 6q -9 + 6q = 9 + -4q + 4q Combine like terms: -4q + 4q = 0 -9 + 6q = 9 + 0 -9 + 6q = 9 Add '9' to each side of the equation. -9 + 9 + 6q = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 6q = 9 + 9 6q = 9 + 9 Combine like terms: 9 + 9 = 18 6q = 18 Divide each side by '6'. q = 3 Simplifying q = 3
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