Chapter 1 - Introduction to Algebraic Expressions - 1.6 Subtraction of Real Numbers - 1.6 Exercise Set - Page 50: 124

$6t+39$

$\bf{\text{Solution Outline:}}$ To simplify the given expression, $ 8t-(-2t)-14-(-5t)+53-9t ,$ remove the parentheses and then combine like terms. The expression $a-(-b)$ simplifies to $a+b.$ The expression $a+(-b)$ simplifies to $a-b.$ $\bf{\text{Solution Details:}}$ Removing the parentheses and then grouping like terms result to \begin{array}{l}\require{cancel} 8t+2t-14+5t+53-9t \\\\= (8t+2t+5t-9t)+(-14+53) \\\\= 6t+39 .\end{array}