Question 455064
 (n+5)/(n+8)=1+(6/n+1)
I'll assume you mean  (n+5)/(n+8) = 1+ (6/(n+1))
(n+5)/(n+8) = n=1+ 6/(n+1) = (n+7)/(n+1)
(n+5)/(n+8) = (n+7)/(n+1)
Cross multiply
(n+5)(n+1) = (n+8)(n+7)
{{{n^2 + 6n + 5 = n^2 + 15n + 56}}}
6n + 5 = 15n + 56
-9n = 51
n = -51/9 = -17/3