To solve the expression:

$10 + \frac{36}{9} - 3 \times (-12)$

Step 1: Division first (following the order of operations)

$\frac{36}{9} = 4$ Now the expression becomes: $10 + 4 - 3 \times (-12)$

Step 2: Multiplication next

$3 \times (-12) = -36$ Now the expression is: $10 + 4 - (-36)$

Step 3: Simplify the subtraction

$10 + 4 + 36 = 50$

Thus, the solution is: $\boxed{50}$

Would you like more details on any step? Here are five related questions for further practice:

1. What is the value of $15 - 3 \times 5 + 2^3$?
2. How do you simplify $8 + 12 \div 4 - 5 \times 2$?
3. Can you evaluate $20 + 18 \div 6 - 4^2$?
4. What is the solution to $45 \div 5 - 3 \times (-7) + 8$?
5. How do you simplify $6 \times 3 - 18 \div 2 + 7$?

Tip: Always follow the order of operations (PEMDAS/BODMAS) when solving expressions.