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Simplifying 0.9q = 0.4q + 500 Reorder the terms: 0.9q = 500 + 0.4q Solving 0.9q = 500 + 0.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.4q' to each side of the equation. 0.9q + -0.4q = 500 + 0.4q + -0.4q Combine like terms: 0.9q + -0.4q = 0.5q 0.5q = 500 + 0.4q + -0.4q Combine like terms: 0.4q + -0.4q = 0.0 0.5q = 500 + 0.0 0.5q = 500 Divide each side by '0.5'. q = 1000 Simplifying q = 1000
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