We are given:
[tex] \frac{a}{4}-b=c [/tex]
Our goal is to solve for a. Since we are solving for a, we need to get rid of the denominator under a. To do this, you have to multiply both sides by the denominator, which is 4.
[tex] 4(\frac{a}{4}-b)=4(c) [/tex]
When we do that, the denominator goes away and we are left with:
[tex] a-4b=4c [/tex]
Since we are solving for a, we have to get a on one side all by itself. To do this, add 4b to both sides which will cancel the -4b on the left. When we do that, we get:
[tex] a=4b+4c [/tex]
This would be your final answer, since this is the simplest you can make a.