Order of Operations: Evaluating Expression with Division and Multiplication

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of these,

Therefore, we'll start by simplifying the expression in parentheses, and since division comes before addition, we'll first perform the division operation in this expression and then the addition operation:

$4+(6+6:3)\cdot2= \\ 4+(6+2)\cdot2= \\ 4+8\cdot2 \\$We'll continue to simplify the expression we got in the last step, remembering that multiplication comes before addition and therefore we'll first perform the multiplication in the expression and then the addition operation:

$4+8\cdot2= \\ 4+16= \\ 20$Therefore, the correct answer is answer C.