Chapter 3 - Equations and Problem Solving - 3.2 - Equations and Problem Solving - Problem Set 3.2 - Page 106: 35

$n=\dfrac{5}{2}$

Using the properties of equality, the value of the variable that satisfies the given equation, $ 32-16n=-8 ,$ is \begin{array}{l}\require{cancel} -16n=-8-32 \\\\ -16n=-40 \\\\ n=\dfrac{-40}{-16} \\\\ n=\dfrac{\cancel{-8}\cdot5}{\cancel{-8}\cdot2} \\\\ n=\dfrac{5}{2} .\end{array}