Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set - Page 95: 106

$t=-\dfrac{3}{4}$

Using the order of operations and the properties of equality, the solution to the given equation, $ 0=t-(-6)-(-7t) $, is \begin{array}{l} 0=t+6+7t \\\\ 0=8t+6 \\\\ -8t=6 \\\\ t=\dfrac{6}{-8} \\\\ t=-\dfrac{3}{4} .\end{array}