[tex]2(2p+m)=3-5m\qquad|\text{use distributive property}\\\\(2)(2p)+(2)(m)=3-5m\\\\4p+2m=3-5m\qquad|\text{subtract 4p from both sides}\\\\2m=3-5m-4p\qquad|\text{add 5m to both sides}\\\\7m=3-4p\qquad|\text{divide both sides by 7}\\\\\boxed{m=\dfrac{3-4p}{7}}[/tex]
