To simplify the expression (8√12 + 4√75) ÷ 3√3, we need to simplify each square root term first:

8√12 = 8 2√3 = 16√3
4√75 = 4 5√3 = 20√3

Now, our expression becomes:

(16√3 + 20√3) ÷ 3√3

Combine like terms:

36√3 ÷ 3√3

Now, divide the coefficients and simplify:

36 ÷ 3 = 12

So, the final simplified expression is:

12