Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3 - Page 114: 20

$n=\dfrac{3}{2}$

Using the properties of equality and combining like terms, the value of the variable that satisfies the given equation, $ 7n-10=9n-13 ,$ is \begin{array}{l}\require{cancel} 7n-9n=-13+10 \\\\ -2n=-3 \\\\ n=\dfrac{-3}{-2} \\\\ n=\dfrac{3}{2} .\end{array}