Recall the order of operations, PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction.
The given expression is:
[tex]-|14-6(1)+7(-6)+2(-2)|_{}[/tex]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.
[tex]\begin{gathered} -|14-6(1)+7(-6)+2(-2)|_{} \\ =-|14-6-42-4|_{} \\ =-|14-48-4|=-|14-52| \\ =-|-38| \end{gathered}[/tex]The absolute value of a number is the non-negative value of the number, hence:
[tex]-|-38|=-(38)=-38[/tex]Hence, the answer is -38.
