1. The problem asks to find $f(-4)$ for the function $f(x) = -2x + 5$ and then to find the value of $p$ given $f(x) = px - 8$ and $f(4) = 20$. 2. For the first part, substitute $x = -4$ into $f(x) = -2x + 5$: $$f(-4) = -2(-4) + 5$$ 3. Simplify the expression: $$f(-4) = 8 + 5 = 13$$ 4. For the second part, use the function $f(x) = px - 8$ and the given value $f(4) = 20$: $$20 = p(4) - 8$$ 5. Solve for $p$: $$20 + 8 = 4p$$ $$28 = 4p$$ $$p = \frac{28}{4} = 7$$ 6. Final answers: - $f(-4) = 13$ - $p = 7$