Answer:
[tex]b=3a+\frac{c}{2}[/tex]
Step-by-step explanation:
First, distribute the -2 to the rest of the parenthesis, following PEMDAS.
[tex]-2(3a-b)=c\\-6a+2b=c[/tex]
Then, add -6a to both sides.
[tex]2b = 6a+c[/tex]
Now, you can divide both sides by 2 to isolate b.
[tex]b=\frac{6a+c}{2}[/tex]
Divide to simplify.
[tex]b=3a+\frac{c}{2}[/tex]
