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Simplifying (A * 100 + B * 10 + C) + -1(C * 100 + B * 10 + A) = 190 + A Reorder the terms for easier multiplication: (100A + B * 10 + C) + -1(C * 100 + B * 10 + A) = 190 + A Reorder the terms for easier multiplication: (100A + 10B + C) + -1(C * 100 + B * 10 + A) = 190 + A Remove parenthesis around (100A + 10B + C) 100A + 10B + C + -1(C * 100 + B * 10 + A) = 190 + A Reorder the terms for easier multiplication: 100A + 10B + C + -1(100C + B * 10 + A) = 190 + A Reorder the terms for easier multiplication: 100A + 10B + C + -1(100C + 10B + A) = 190 + A Reorder the terms: 100A + 10B + C + -1(A + 10B + 100C) = 190 + A 100A + 10B + C + (A * -1 + 10B * -1 + 100C * -1) = 190 + A 100A + 10B + C + (-1A + -10B + -100C) = 190 + A Reorder the terms: 100A + -1A + 10B + -10B + C + -100C = 190 + A Combine like terms: 100A + -1A = 99A 99A + 10B + -10B + C + -100C = 190 + A Combine like terms: 10B + -10B = 0 99A + 0 + C + -100C = 190 + A 99A + C + -100C = 190 + A Combine like terms: C + -100C = -99C 99A + -99C = 190 + A Solving 99A + -99C = 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. 99A + -1A + -99C = 190 + A + -1A Combine like terms: 99A + -1A = 98A 98A + -99C = 190 + A + -1A Combine like terms: A + -1A = 0 98A + -99C = 190 + 0 98A + -99C = 190 Add '99C' to each side of the equation. 98A + -99C + 99C = 190 + 99C Combine like terms: -99C + 99C = 0 98A + 0 = 190 + 99C 98A = 190 + 99C Divide each side by '98'. A = 1.93877551 + 1.010204082C Simplifying A = 1.93877551 + 1.010204082C
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