We first use distributive property to get rid of parentheses, and then combine like terms: $$\begin{aligned} {8-10\mathopen{}\left(-7-4q\right)} & = 8+(-10)(-7 - 4q)\\ & = 8+(-10)(-7)+(-10)(-4q)\\ & = 8+70 +40q\\ & = 78 +40q\\ & = {40q+78}\end{aligned}$$ Note that either of the last two expressions are acceptable final answers.