Let's distribute the terms in the expression $(3i + 4)(-2i - 5)$ step by step.

We will apply the distributive property, also known as the FOIL method (First, Outer, Inner, Last), to expand this expression:

1. First: Multiply the first terms in each binomial:
   $3i \times -2i = -6i^2$ Since $i^2 = -1$, this becomes:
   $-6i^2 = 6$ (because $-1 \times -6 = 6$)

2. Outer: Multiply the outer terms:
   $3i \times -5 = -15i$

3. Inner: Multiply the inner terms:
   $4 \times -2i = -8i$

4. Last: Multiply the last terms in each binomial:
   $4 \times -5 = -20$

Now, combine all the terms:

$6 + (-15i) + (-8i) - 20$

Simplify:

$6 - 20 + (-15i - 8i) = -14 - 23i$

So, the simplified expression is:

$-14 - 23i$

Does this help, or would you like further clarification?