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Simplifying A = (100 + -2(B + C))(B + C) + -4B A = (100 + (B * -2 + C * -2))(B + C) + -4B A = (100 + (-2B + -2C))(B + C) + -4B Multiply (100 + -2B + -2C) * (B + C) A = (100(B + C) + -2B * (B + C) + -2C * (B + C)) + -4B A = ((B * 100 + C * 100) + -2B * (B + C) + -2C * (B + C)) + -4B A = ((100B + 100C) + -2B * (B + C) + -2C * (B + C)) + -4B A = (100B + 100C + (B * -2B + C * -2B) + -2C * (B + C)) + -4B Reorder the terms: A = (100B + 100C + (-2BC + -2B2) + -2C * (B + C)) + -4B A = (100B + 100C + (-2BC + -2B2) + -2C * (B + C)) + -4B A = (100B + 100C + -2BC + -2B2 + (B * -2C + C * -2C)) + -4B A = (100B + 100C + -2BC + -2B2 + (-2BC + -2C2)) + -4B Reorder the terms: A = (100B + -2BC + -2BC + -2B2 + 100C + -2C2) + -4B Combine like terms: -2BC + -2BC = -4BC A = (100B + -4BC + -2B2 + 100C + -2C2) + -4B Reorder the terms: A = 100B + -4B + -4BC + -2B2 + 100C + -2C2 Combine like terms: 100B + -4B = 96B A = 96B + -4BC + -2B2 + 100C + -2C2 Solving A = 96B + -4BC + -2B2 + 100C + -2C2 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Simplifying A = 96B + -4BC + -2B2 + 100C + -2C2
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