Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set - Page 94: 21

$t=-5 $

Using the properties of equality, the solution to the given equation, $ -37=9t+8 $, is \begin{array}{l} -37-8=9t \\\\ -45=9t \\\\ \dfrac{-45}{9}=t \\\\ t=-5 .\end{array} Checking: \begin{array}{l} -37=9(-5)+8 \\\\ -37=-45+8 \\\\ -37=-37 \text{ (TRUE)} .\end{array} Hence, the solution is $ t=-5 .$