Chapter 3 - Equations and Problem Solving - 3.2 - Equations and Problem Solving - Problem Set 3.2 - Page 106: 36

$n=-\dfrac{11}{6}$

Using the properties of equality, the value of the variable that satisfies the given equation, $ -41=12n-19 ,$ is \begin{array}{l}\require{cancel} -41+19=12n \\\\ -22=12n \\\\ \dfrac{22}{-12}=n \\\\ n=\dfrac{\cancel{2}\cdot11}{\cancel{2}\cdot(-6)} \\\\ n=\dfrac{11}{-6} \\\\ n=-\dfrac{11}{6} .\end{array}