To solve this expression, we need to follow the order of operations, which is commonly remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (performed left to right), and Addition and Subtraction (performed left to right).
Using PEMDAS, we first simplify the expression inside the parentheses:
-3 + 9 = 6
The expression now becomes:
8 + 22 * 6 ÷ 3
Next, we perform the multiplication and division, starting from left to right:
22 * 6 = 132
132 ÷ 3 = 44
Substituting these values, we get:
8 + 44
Finally, we perform the addition:
8 + 44 = 52
Therefore, the value of the expression 8 + 22(-3 + 9) ÷ 3 is 52.
So, the answer is not one of the options provided.