Answer:
![(11tc+5g)/(66t)=n](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xl6zie6fd48ppj4zsybycoympz62gshymm.png)
Explanation:
You have the equation
.
Then, to solve for the variable
from the equation you need:
Make the subtraction of the right side of the equation:
(As the denominators are 1 and
, the least common denominator is
)
![c=((6n)(11t)-5g)/(11t)\\\\c=(66nt-5g)/(11t)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/s4ff6161x58h0ki8itrjyeyrx2qenykcly.png)
Multiply
to both sides:
![(11t)c=((66nt-5g)/(11t))(11t)\\\\11tc=66nt-5g](https://img.qammunity.org/2020/formulas/mathematics/middle-school/le3ytwywog84p1wfdnr2s5zk9msukq8fob.png)
Add
to both sides:
![11tc+5g=66nt-5g+5g\\\\11tc+5g=66nt](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jrxmo8sgxdciptvb2peijl7y1nzus1sjww.png)
And finally divide both sides by
:
![(11tc+5g)/(66t)=(66nt)/(66t)\\\\(11tc+5g)/(66t)=n](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tmmyf81bollrmg0rgcxegmlrct85u5cskq.png)