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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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