You have the following inequality:
2(5t - 25) + 5t < -80
In order to solve the previous inequality, proceed as follow:
Expand the factor left side and simplify like term:
2(5t) - 2(25) + 5t < -80
10t - 50 + 5t < -80
15t < -80 + 50
15t < -30
Divide by 15 both sides and simplify:
t<-30/15
t<-2
Hence, the solution to the given inequality is t<-2