Question 1193181
<br>
{{{(5(k+2)-7)/6=(13-(4-k))/9}}}<br>
Multiply by the least common denominator, 18, to clear fractions; then solve.<br>
{{{3(5(k+2)-7)=2(13-(4-k))}}}
{{{3(5k+3)=2(k+9)}}}
{{{15k+9=2k+18}}}
{{{13k=9}}}
{{{k=9/13}}}<br>
ANSWER: 9/13<br>