Rearrange the equation so n is the independent variable.
3m-2n=12

Answer:
[tex] \displaystyle m = \frac{2}{3} n + 4[/tex]
Step-by-step explanation:
we are given a equation
we want to make n the independent variable
to do so
move -2n to right hand side and change its sign:
[tex] \displaystyle 3m = 12 + 2n[/tex]
divide both sides by 3:
[tex] \displaystyle m = \frac{12 + 2n}{3} [/tex]
further simplification is needed:
[tex] \displaystyle m = \frac{12 }{3} + \frac{2n}{3} [/tex]
[tex] \displaystyle m = \frac{2}{3} n + 4[/tex]
now m depends on n and n can be any value so we have rearranged n to independent variable
and we are done!