Chapter 3 - Equations and Problem Solving - 3.1 - Solving First-Degree Equations - Problem Set 3.1 - Page 100: 47

$n=-35$

Multiplying both sides of the equation by $ -\dfrac{5}{2} $ (which is the reciprocal of -2/5) and using the properties of equality, the value of the variable that satisfies the given equation, $ -\dfrac{2}{5}n=14 ,$ is \begin{array}{l}\require{cancel} n=14\cdot\left(-\dfrac{5}{2}\right) \\\\ n=\cancel{2}\cdot7\cdot\left(-\dfrac{5}{\cancel{2}}\right) \\\\ n=-35 .\end{array}