#### Answer

$35$

#### Work Step by Step

We start with the given expression: $3-2[4(-3-1)]$
Order of operations states that first, we perform operations inside grouping symbols, such as parentheses, brackets, and fraction bars. Then, we simplify powers. Then, we multiply and divide from the left to the right. Then, we add and subtract from the left to the right. We follow order of operations to simplify:
We start by simplifying inside the inner most parentheses: $3-2[4(-4)]$
Next, we simplify inside the brackets: $3-2(-16)$
Next, we multiply: $3-(-32)$
Finally, we add: $3+32=35$