Question 563916
{{{  8/z  =  9/z - 1/3 }}}
Multiply both sides by {{{ 3z }}}
{{{ 24 = 27 - z }}}
Subtract {{{ 27 }}} from both sides
{{{ -3 = -z }}}
Multiply both sides by {{{ -1 }}}
{{{ z = 3 }}}
check:
{{{  8/3  =  9/3 - 1/3 }}}
{{{ 8/3  =  8/3 }}}
OK