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Simplifying 2000 + 50(200q + -10 * 10) = 2500q + 750 Multiply -10 * 10 2000 + 50(200q + -100) = 2500q + 750 Reorder the terms: 2000 + 50(-100 + 200q) = 2500q + 750 2000 + (-100 * 50 + 200q * 50) = 2500q + 750 2000 + (-5000 + 10000q) = 2500q + 750 Combine like terms: 2000 + -5000 = -3000 -3000 + 10000q = 2500q + 750 Reorder the terms: -3000 + 10000q = 750 + 2500q Solving -3000 + 10000q = 750 + 2500q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2500q' to each side of the equation. -3000 + 10000q + -2500q = 750 + 2500q + -2500q Combine like terms: 10000q + -2500q = 7500q -3000 + 7500q = 750 + 2500q + -2500q Combine like terms: 2500q + -2500q = 0 -3000 + 7500q = 750 + 0 -3000 + 7500q = 750 Add '3000' to each side of the equation. -3000 + 3000 + 7500q = 750 + 3000 Combine like terms: -3000 + 3000 = 0 0 + 7500q = 750 + 3000 7500q = 750 + 3000 Combine like terms: 750 + 3000 = 3750 7500q = 3750 Divide each side by '7500'. q = 0.5 Simplifying q = 0.5
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