Question 322170
 Use parentheses to differentiate parts of your fraction. 
I think you mean like this??
{{{5+4/(5-z)+(z+4)/(z-5)=5-4/(z-5)+(z+4)/(z-5)}}}
Use the common denominator {{{z-5}}},
{{{5+4/(5-z)+(z+4)/(z-5)=(5(z-5))/(z-5)-4/(z-5)+(z+4)/(z-5)}}}
{{{5+4/(5-z)+(z+4)/(z-5)=(5(z-5)-4+(z+4))/(z-5)}}}
{{{5+4/(5-z)+(z+4)/(z-5)=(5z-25-4+z+4)/(z-5)}}}
{{{5+4/(5-z)+(z+4)/(z-5)=(6z-25)/(z-5)}}}