Question 932161
Multiply both sides by {{{z-1}}}
{{{z=1+2(z-1)}}}
{{{z=1+2z-2}}}
{{{-z=-1}}}
{{{z=1}}}
However, when we originally multiplied by {{{z-1}}}, we assumed that {{{z<>1}}}.
Since this is contradicted, there is no solution.