Answer :

to solve for n you have to get n on one side of the equation by itself.
n-6m=8
take -6m and add to both sides. so the side that has n evens out to 0. then you have
n=6m+8
it is this way because you can only add like terms. This should be all you need to do. 
Hope this helps

Answer:  The required solution for n is [tex]n=8+6m.[/tex]

Step-by-step explanation:  We are given to solve the following equation for the variable n :

[tex]n-6m=8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To solve the given equation for n, we must take all the other terms to the right-hand side of the equation.

From equation (i), we get

[tex]n-6m=8\\\\\Rightarrow n=8+6m.[/tex]

Thus, the required solution for n is [tex]n=8+6m.[/tex]