Find the value of the following expression:
$$24÷(3-8\times 3+27)+3$$

To solve the expression, we apply the BODMAS rule sequentially:
Given expression:

$$24÷(3-8\times 3+27)+3$$

Step 1: Simplify inside the parentheses (bracket) following multiplication first:

$$3-(8\times 3)+27=3-24+27$$

$$=30-24=6$$

Step 2: Substitute this value back into the expression:

$$24÷6+3$$

Step 3: Perform division:

$$24÷6=4$$

Step 4: Perform addition:

$$4+3=7$$

Therefore, the value of the expression is $7$.