1 = 2?

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]In the following process, which step is wrong and why?

Step 1: Assume                                                  a = 1

Step 2: Multiply a on both sides                    a2 = a

Step 3: Subtract 1                                         a2-1 = a-1

Step 4: Factoring left-hand side       (a-1)(a+1) = a-1

Step 5: Divide by a-1                                    a+1 = 1

Step 6: Replace a=1                                      1+1 = 1

Therefore,                                                           2 = 1