Find the value of 12 + 24 ÷ 2 - 7 × 30 ÷ 6 + (5 + 4) × 8 + 8 ÷ 8 - 8.

The correct option is 54.

To evaluate the given mathematical expression, we follow the standard order of operations, known as the BODMAS / PEMDAS rule:
1. B/P: Brackets / Parentheses
2. O/E: Orders / Exponents
3. D/M: Division and Multiplication (evaluated from left to right)
4. A/S: Addition and Subtraction (evaluated from left to right)

The given expression is:

$12+24÷2-7\times 30÷6+(5+4)\times 8+8÷8-8$

Step 1: Simplify the expression inside the brackets.

$5+4=9$

Substituting this result back into the main expression gives:

$12+24÷2-7\times 30÷6+9\times 8+8÷8-8$

Step 2: Perform division and multiplication operations from left to right.

First, calculate the individual divisions:

$24÷2=12$

$30÷6=5$

$8÷8=1$

Next, calculate the multiplication operations:

$7\times 5=35$

$9\times 8=72$

Substituting these values back into the expression yields:

$12+12-35+72+1-8$

Step 3: Perform addition and subtraction operations sequentially from left to right.

$12+12=24$

$24-35=-11$

$-11+72=61$

$61+1=62$

$62-8=54$

Thus, the simplified final value of the expression is 54.