((A*100)+(B*10)+C)-((C*100)+(B*10)+C)=190+A

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Solution for ((A*100)+(B*10)+C)-((C*100)+(B*10)+C)=190+A equation:


Simplifying
((A * 100) + (B * 10) + C) + -1((C * 100) + (B * 10) + C) = 190 + A

Reorder the terms for easier multiplication:
((100A) + (B * 10) + C) + -1((C * 100) + (B * 10) + C) = 190 + A

Reorder the terms for easier multiplication:
((100A) + (10B) + C) + -1((C * 100) + (B * 10) + C) = 190 + A

Remove parenthesis around ((100A) + (10B) + C)
(100A) + (10B) + C + -1((C * 100) + (B * 10) + C) = 190 + A

Reorder the terms for easier multiplication:
(100A) + (10B) + C + -1((100C) + (B * 10) + C) = 190 + A

Reorder the terms for easier multiplication:
(100A) + (10B) + C + -1((100C) + (10B) + C) = 190 + A

Reorder the terms:
(100A) + (10B) + C + -1((10B) + (100C) + C) = 190 + A

Combine like terms: (100C) + C = 101C
(100A) + (10B) + C + -1((10B) + 101C) = 190 + A
(100A) + (10B) + C + ((10B) * -1 + 101C * -1) = 190 + A
(100A) + (10B) + C + (-10B + -101C) = 190 + A

Reorder the terms:
(100A) + (10B) + -10B + C + -101C = 190 + A

Combine like terms: (10B) + -10B = 0
(100A) + 0 + C + -101C = 190 + A
(100A) + C + -101C = 190 + A

Combine like terms: C + -101C = -100C
(100A) + -100C = 190 + A

Solving
(100A) + -100C = 190 + A

Solving for variable 'A'.

Move all terms containing A to the left, all other terms to the right.

Add '-1A' to each side of the equation.
(100A) + -1A + -100C = 190 + A + -1A

Combine like terms: (100A) + -1A = 99A
99A + -100C = 190 + A + -1A

Combine like terms: A + -1A = 0
99A + -100C = 190 + 0
99A + -100C = 190

Add '100C' to each side of the equation.
99A + -100C + 100C = 190 + 100C

Combine like terms: -100C + 100C = 0
99A + 0 = 190 + 100C
99A = 190 + 100C

Divide each side by '99'.
A = 1.919191919 + 1.01010101C

Simplifying
A = 1.919191919 + 1.01010101C

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