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Simplifying ABC + BCA + CAB = 101(A + B + C) Combine like terms: ABC + ABC = 2ABC 2ABC + ABC = 101(A + B + C) Combine like terms: 2ABC + ABC = 3ABC 3ABC = 101(A + B + C) 3ABC = (A * 101 + B * 101 + C * 101) 3ABC = (101A + 101B + 101C) Solving 3ABC = 101A + 101B + 101C Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-101A' to each side of the equation. -101A + 3ABC = 101A + 101B + -101A + 101C Reorder the terms: -101A + 3ABC = 101A + -101A + 101B + 101C Combine like terms: 101A + -101A = 0 -101A + 3ABC = 0 + 101B + 101C -101A + 3ABC = 101B + 101C Reorder the terms: -101A + 3ABC + -101B + -101C = 101B + -101B + 101C + -101C Combine like terms: 101B + -101B = 0 -101A + 3ABC + -101B + -101C = 0 + 101C + -101C -101A + 3ABC + -101B + -101C = 101C + -101C Combine like terms: 101C + -101C = 0 -101A + 3ABC + -101B + -101C = 0 The solution to this equation could not be determined.
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