Verified Answer :

nobillionaireNobley

Your question can be interpreted in two ways, I will solve both you then take the one you mean.
\(\frac{6n-5p}{11t} =c \\ 6n-5p=11ct \\ 6n=11ct+5p \\ n= \frac{11ct+5p}{6}\)
Alternatively,
\(6n- \frac{5p}{11t} =c \\ 66nt-5p=11ct \\ 66nt=11ct+5p \\ n= \frac{11ct}{66t} + \frac{5p}{66t} \\ n= \frac{1}{6} c+\frac{5p}{66t}\)

Answer:

The simplified form for n is \(\frac{11tc+5p}{6}\)

Step-by-step explanation:

We need to solve the given expression for the \(n\)

Given expression is \(\frac{6n-5p}{11t}=c\)

\(\frac{6n-5p}{11t}=c\)

Multiply both the sides by 11t,

\(11t\times \frac{6n-5p}{11t}=11t\times c\)

\(6n-5p=11tc\)

Add both the sides by 5p

\(6n-5p+5p=11tc+5p\)

\(6n=11tc+5p\)

Divide both the sides by 6,

\(n=\frac{11tc+5p}{6}\)

Therefore, the simplified form for n is \(\frac{11tc+5p}{6}\)

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