Answer
$-36a^2-6a$
Work Step by Step
We start with the given expression: $6(a-3a^2-2a-3a^2)$
We apply the distributive property: $6a-18a^2-12a-18a^2$
We rearrange the terms using the commutative property of addition: $-18a^2-18a^2+6a-12a$
We combine like terms using addition and subtraction: $-36a^2-6a$