How do you find 3w-6w+3w*7*7*6*5:9+2

Let's remember orders of operations as we go through the craze of this problem.

We need to multiply or divide from left to right.

3w-6w+3w*7*7*6*5:9+2

3w-6w+21w*7*6*5:9+2

3w-6w+147w*6*5:9+2

3w-6w+882w*5:9+2

3w-6w+4,410w:9+2

3w-6w+490w+2

-3w+490w+2

487w+2

To check that we simplified the expression right, I like to put in 1 for w and test it in the original expression and then the simplified expression (not needed).

487+2=489

3-6+3*7*7*6*5:9+2=489

So that expression equals 487w+2.