jmc

First, we use the distributive property to expand the left-hand side of the inequality: $$-13r-65+25>4r-40$$The constants on the left side add up to $-40$, so adding $40$ to both sides cancels all the constant terms: $$-13r>4r$$Adding $13r$ to both sides yields $$0>17r$$and dividing both sides by $17$ gives $0>r$, or in interval notation, $r\in \boxed{(-\infty ,0)}$.