Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set - Page 94: 15

$t=5$

Using the properties of equality, the solution to the given equation, $ 7t-8=27 $, is \begin{array}{l} 7t-8+8=27+8 \\\\ 7t=35 \\\\ \dfrac{7t}{7}=\dfrac{35}{7} \\\\ t=5 .\end{array} Checking: \begin{array}{l} 7(5)-8=27 \\\\ 35-8=27 \\\\ 27=27 \text{ (TRUE)} .\end{array} Hence, the solution is $ t=5 $.