Solve Complex Order of Operations: -9-(15-3-[17-14]+4)+12÷3×7

Question

Solve the following equation:

$-9-(15-3-\lbrack17-14\rbrack+4)+12\colon3\times7=$

00:00 Solve

00:05 Always solve parentheses first, including nested parentheses

00:28 Continue solving one operation at a time

00:53 Always solve multiplication and division before addition and subtraction

01:12 Continue solving according to proper order of operations, from left to right

01:18 And this is the solution to the problem

According to the order of arithmetic operations, we begin by solving the innermost parenthesis and the division exercise first:

$-9-(15-3-3+4)+4\times7=$

We then solve the parenthesis exercise from left to right:

$15-3-3+4=12-3+4=9+4=13$

We obtain the following exercise:

$-9-13+(4\times7)=$

We then solve the multiplication exercise and obtain:

$-9-13+28=$

Lastly we solve the exercise from left to right:

$-9-13=-22$

$-22+28=6$