Answer: The required solution is n = 8.
Step-by-step explanation: We are given to solve the following linear equation :
[tex]6(n-4)=3n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To solve the given equation, we need to find the value of the unknown variable x.
The solution of equation (i) is as follows :
[tex]6(n-4)=3n\\\\\Rightarrow 6n-24=3n\\\\\Rightarrow 6n-3n=24\\\\\Rightarrow 3n=24\\\\\Rightarrow n=\dfrac{24}{3}\\\\\Rightarrow n=8.[/tex]
Thus, the required solution is n = 8.