Seperate the variable and the constants
(4/9)Z-(3/9)Z-(5/9)Z-9+2
simplify the constants term
-9+2=-7
So, the equation becomes
(4/9)Z-(3/9)Z-(5/9)Z-7
Now, for the variables part
(4/9)Z-(3/9)Z-(5/9)Z
Take the LCM and add
{(4-3-5)/9}Z
{(4-8)/9}Z
{(-4)/9}Z
Thus, the equation becomes
{(-4)/9}Z-7=0
(-4/9)Z=7
Z=7(9/(-4))
Z=-63/4