Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3 - Page 114: 10

$n=-5$

Using the properties of equality and combining like terms, the value of the variable that satisfies the given equation, $ -n+7-2n+5n-3=-6 ,$ is \begin{array}{l}\require{cancel} -n-2n+5n=-6-7+3 \\\\ 2n=-10 \\\\ n=\dfrac{-10}{2} \\\\ n=-5 .\end{array}