A=(100-2(B+C))*(B+C)-4B

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Solution for A=(100-2(B+C))*(B+C)-4B equation:


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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