Let's break down the expression step by step:

The given expression is:

$12 \div 3 + (13 \times 7 - 4) - 12$

Step 1: Division

First, calculate the division part:

$12 \div 3 = 4$

Now the expression becomes:

$4 + (13 \times 7 - 4) - 12$

Step 2: Multiplication inside the parentheses

Next, calculate $13 \times 7$:

$13 \times 7 = 91$

Now the expression becomes:

$4 + (91 - 4) - 12$

Step 3: Subtraction inside the parentheses

Now subtract $4$ from $91$:

$91 - 4 = 87$

Now the expression becomes:

$4 + 87 - 12$

Step 4: Addition and Subtraction

Finally, add and subtract in sequence:

$4 + 87 = 91$ $91 - 12 = 79$

Final Answer:

$79$

Do you need any more details or have any questions?

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Here are 5 questions for further practice:

1. What is $15 \div 5 + (9 \times 3 - 6) - 8$?
2. Simplify $10 \div 2 + (8 \times 4 - 5) - 6$.
3. Calculate $18 \div 6 + (7 \times 5 - 3) - 10$.
4. What is $25 \div 5 + (6 \times 6 - 7) - 11$?
5. Simplify $30 \div 3 + (5 \times 8 - 9) - 20$.

Tip: Always solve operations inside parentheses first, and follow the order of operations (PEMDAS).