Solve -38-(24-(17-5)): Multiple Nested Parentheses Problem

Let's recall the order of operations: calculate what's in parentheses, multiplication and division (from left to right), addition and subtraction (from left to right)

We emphasize that when there are parentheses within parentheses, we start with the innermost ones first.

$-38-(24-(17-5)) =$

In this exercise, there are only subtraction operations and parentheses within parentheses.

Therefore, we will first perform the operation in the inner parentheses, and after calculating we can remove the inner parentheses. We'll continue doing this until there are no more parentheses in the exercise.

$-38-(24-(17-5)) = -38-(24-(12))$

$-38-(24-(12)) = -38-(24-12)$

Now we'll perform the operation in the remaining parentheses and after calculating we'll remove the parentheses

$-38-(24-12) = -38-(12)$

$-38-(12) = -38-12$

Reminder - Addition and subtraction of numbers with the same sign

When we have two numbers with the same sign (plus or minus), that sign will remain in the result, which will actually be the result of an addition exercise.

$-38-12 = -50$

Therefore the answer is option c - (-50)