Answer:
[tex]\frac{13m}{3}-\frac{n}{5}[/tex]
Step-by-step explanation:
1) Simplify [tex]\frac{47}{6}m[/tex] to [tex]\frac{47m}{6}[/tex]
[tex]\frac{47m}{6}+n-\frac{7}{2}m-\frac{6}{5}n[/tex]
2) Simplify [tex]\frac{7}{2}m[/tex] to [tex]\frac{7m}{2}[/tex]
[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6}{5}n[/tex]
3) Simplify [tex]\frac{6}{5}n[/tex] to[tex]\frac{6n}{5}[/tex]
[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6n}{5}[/tex]
4) Collect like terms.
[tex](\frac{47m}{6}-\frac{7m}{2})+(n-\frac{6n}{5})[/tex]
5) Simplify.
[tex]\frac{13m}{3}-\frac{n}{5}[/tex]