+5 Can somebody please tell me how to do this problem? I'm stuck and I don't know how to begin.
If \($abc=13$ and $$\left(a+\frac{1}{b}\right)\left(b+\frac{1}{c}\right)\left(c+\frac{1}{a}\right)=\left(1+\frac{1}{a}\right)\left(1+\frac{1}{b}\right)\left(1+\frac{1}{c}\right),$$find $a+b+c$.\)
