Question

Solve for n: c= 6n−5g /11t

Answer 1

Answer: $\frac{11tc+5g}{66t}=n$

Step-by-step explanation:

You have the equation $c=6n-\frac{5g}{11t}$.

Then, to solve for the variable $n$ from the equation you need:

Make the subtraction of the right side of the equation:

(As the denominators are 1 and $11t$, the least common denominator is $11t$)

$c=\frac{(6n)(11t)-5g}{11t}\\\\c=\frac{66nt-5g}{11t}$

Multiply  $11t$ to both sides:

$(11t)c=(\frac{66nt-5g}{11t})(11t)\\\\11tc=66nt-5g$

Add $5g$ to both sides:

$11tc+5g=66nt-5g+5g\\\\11tc+5g=66nt$

And finally divide both sides by $66t$:

$\frac{11tc+5g}{66t}=\frac{66nt}{66t}\\\\\frac{11tc+5g}{66t}=n$