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Simplifying 2000 + 50(200q + -100) = 0 Reorder the terms: 2000 + 50(-100 + 200q) = 0 2000 + (-100 * 50 + 200q * 50) = 0 2000 + (-5000 + 10000q) = 0 Combine like terms: 2000 + -5000 = -3000 -3000 + 10000q = 0 Solving -3000 + 10000q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3000' to each side of the equation. -3000 + 3000 + 10000q = 0 + 3000 Combine like terms: -3000 + 3000 = 0 0 + 10000q = 0 + 3000 10000q = 0 + 3000 Combine like terms: 0 + 3000 = 3000 10000q = 3000 Divide each side by '10000'. q = 0.3 Simplifying q = 0.3
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