Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Review Problem Set - Page 184: 65

$n\lt\dfrac{2}{11}$

Using the distributive property and properties of inequalities, the solution to the given inequality, $ -3(n-4)\gt5(n+2)+3n ,$ is \begin{array}{l}\require{cancel} -3n+12\gt5n+10+3n \\\\ -3n-5n-3n\gt10-12 \\\\ -11n\gt-2 \\\\ n\lt\dfrac{-2}{-11} \\\\ n\lt\dfrac{2}{11} .\end{array}