Greetings!
Solve for the variable [tex](z)[/tex]:
[tex]-25z+1+35z=10z+1[/tex]
Combine like terms:
[tex]10z+1=10z+1[/tex]
Add -10z and -1 to both sides:
[tex](10z+1)+(-10z)+(-1)=(10z+1)+(-10z)+(-1)[/tex]
[tex]0=0[/tex]
There is an infinite number of solutions:
I hope this helped!
-Benjamin