Answer: The required value of n is -15.
Step-by-step explanation: Given that eight less than one-third of a number n is -13.
We are to find the value of n.
According to the given information, the equation for n can be written and solved as follows :
[tex]\dfrac{1}{3}\times n-8=-13\\\\\\\Rightarrow \dfrac{n-24}{3}=-13\\\\\Rightarrow n-24=-13\times3\\\\\Rightarrow n-24=-39\\\\\Rightarrow n=-39+24\\\\\Rightarrow n=-15[/tex]
Thus, the required value of n is -15.