## Elementary Algebra

$-40-35i$
We start with the given expression: $-5i(7-8i)$ We use the distributive property to multiply: $7(-5i)+(-8i)(-5i)$ We multiply the real and imaginary terms: $-35i+40i^2$ Since $i^2$ is equal to $-1$, we simplify the expression as follows: $40(-1)-35i=-40-35i$