Find the sum of 5m+3n+p,-5p+3n,and 2n-m
\((5m+3n+p)+(-5p+3n)+(2n-m)\\\\=5m+3n+p-5p+3n+2n-m\\\\=(5m-m)+(3n+3n+2n)+(p-5p)\\\\=\boxed{4m+8n-4p}\)
