Solve the Expression: 84-(77-(93-81)) Using Order of Operations

Let's recall the order of operations: calculating 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.

$84-(77-(93-81))=$

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 and are left with only one set of parentheses.

$84-(77-(93-81)) = 84-(77-(12))$

$84-(77-(12))=84-(77-12)$
Now we will perform the operation in the remaining parentheses and after calculating we will remove the parentheses

$84-(77-12) = 84-(65)$

$84-(65) = 84-65 = 19$

Therefore the answer is option A - (19)