Chapter 2 - Equations, Inequalities, and Problem Solving - 2.1 Solving Equations - 2.1 Exercise Set - Page 87: 83

$t=9$

Using properties of equality, the solution to the given equation, $ -\dfrac{4}{3}t=-12 $, is \begin{array}{l}\require{cancel} -\dfrac{3}{4}\left(-\dfrac{4}{3}t\right)=-12\left(-\dfrac{3}{4}\right) \\\\ \dfrac{12}{12}t=-3\cdot\cancel{4}\left(-\dfrac{3}{\cancel{4}}\right) \\\\ t=9 .\end{array}