Please answer I don't really understand so can you pls explain as well? I really want to better understand this concept! thank you so much beautiful people for helping out people like me!!!

Hm. I got a different answer.

Turn the mixed number into an improper fraction. So 6 3/4 becomes 27/4.
Multiply each side by the reciprocal of (5/8) to solve for m.

(8/5)(5/8)m=(27/4)(8/5)

(8/5)(5/8) cancel each other out.

You are left with m= 216/20
This reduces to 54/5

54/5= 10.8

So m=10.8

Using substitution,
(5/8)(10.8)=6.75
6.75=6.75