Given the equations below what is the value of n/m?
m-6(n+2)=-8
6n+m=16

So what you do first is simplify the top equation

m-6(n+2)=-8
m-6n-12=-8
Add 12 to both sides to get
m-6n= 4

Next solve for m.
Add 6n to both sides
m=6n+4

Plug that into the second equation for m.

6n+(6n+4)=16

Combine like terms. 6n+6n is 12n so...

12n+4=16

Solve for n by subtracting 4 to each side

12n=16-4

12n=12

n=1

Plug n=1 into the m equation or any of the two original equations to solve for m...

6(1)+m=16
6+m=16
m=10

Since you solved for m earlier you could also do it this way:

m=6(1)+4

m=6+4

m=10

Thus your two solutions are m=10 and n=1

Hope this helps