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a+b=c /*(a+b)
a*a+2a*b+b*b=a*c+b*c
a*a+a*b-a*c=-a*b-b*b+b*c
a(a+b-c)=-b(a+b-c)
a=-b
So yes, it is called a paradox, and it is completely possible to obtain an illogical conclusion from a set of completely logical steps.
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