Question 1094124
<pre>
{{{expr(3/4)abs(8t-12)}}}{{{""=""}}}{{{6(t-1)}}}

Multiply both sides by 4 to clear the fraction:

{{{3abs(8t-12)}}}{{{""=""}}}{{{24(t-1)}}}

Divide both sides by 3 to isolate the absolute value

{{{abs(8t-12)}}}{{{""=""}}}{{{8(t-1)}}}

Make two equations without the absolute value bars,
one with the right sides as it is and one with the
right side with the opposite sign:

{{{8t-12}}}{{{""=""}}}{{{""+8(t-1)}}} OR {{{8t-12}}}{{{""=""}}}{{{-8(t-1)}}}
 
{{{8t-12}}}{{{""=""}}}{{{8t-8}}}    OR {{{8t-12}}}{{{""=""}}}{{{-8t+8}}}

  {{{-12}}}{{{""=""}}}{{{-8}}}      OR   {{{16t}}}{{{""=""}}}{{{20}}}

The left equation is false, so  {{{t}}}{{{""=""}}}{{{20/16}}} 

That reduces to {{{t}}}{{{""=""}}}{{{5/4}}}, so there is just one
solution since the left equation turned out to be false.  

Edwin</pre>