Question 1012138
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{{{(n+5)/(n-3)-(n+3)/(n-5)=16}}} Multiply both sides by (n-3)
{{{(n+5)-((n-3)(n+3))/(n-5)=16(n-3)}}} Multiply both sides by (n-5)
{{{((n+5)(n-5))-((n-3)(n+3))=16(n-3)(n-5)}}}
{{{(n^2-25)-(n^2-9)=16(n^2-8n+15)}}}
{{{-16=16n^2-128n+240}}}
{{{0=16n^2-128n+256}}}
{{{0=n^2-8n+16}}}
{{{0=(n-4)(n-4)}}}
{{{n-4=0}}}
{{{n=4}}}