Chapter 3 - Equations and Problem Solving - 3.1 - Solving First-Degree Equations - Problem Set 3.1 - Page 100: 63

$n=-\dfrac{1}{12}$

Multiplying both sides by the $LCD= 3 ,$ and using the properties of equality, the value of the variable that satisfies the given equation, $ -4n=\dfrac{1}{3} ,$ is \begin{array}{l}\require{cancel} 3(-4n)=1(1) \\\\ -12n=1 \\\\ n=\dfrac{1}{-12} \\\\ n=-\dfrac{1}{12} .\end{array}