Question 466428
Factor denominators 
{{{(w-7)/(w-9)-(w+1)/(w+9)+(w-45)/(w+9)(w-9)}}}
Find common denominator and transform numerators
{{{((w-7)(w+9) - (w+1)(w-9) + (w-45))/(w+9)(w-9)}}}
Distribute and add like terms
{{{(w^2+2w-63 -w^2+8w+9+w-45)/(w+9)(w-9)}}}
{{{(11w - 99)/(w+9)(w-9)}}}
Factor 11 out of numerator 
{{{11(w-9)/(w+9)(w-9)}}}
Cancel 
{{{11/(w+9)}}}