Question

-|14 - 6(1) + 7(-6)+2(-2)|

Answer 1

Recall the order of operations, PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction.

The given expression is:

`-|14-6(1)+7(-6)+2(-2)|_{}`

Notice that the operations in the given expression in the correct order of operations are Multiplication, Addition, and Subtraction.

Hence, start with multiplication, followed by addition, and then subtraction.

`\begin{gathered} -|14-6(1)+7(-6)+2(-2)|_{} \\ =-|14-6-42-4|_{} \\ =-|14-48-4|=-|14-52| \\ =-|-38| \end{gathered}`

The absolute value of a number is the non-negative value of the number, hence:

`-|-38|=-(38)=-38`

Hence, the answer is -38.