Let's solve the puzzle step by step by filling in the missing numbers.

1. -11 + ____ = 15
   To solve for the blank:
   $-11 + x = 15 \implies x = 15 + 11 = 26$
   Answer: 26

2. ____ - (-3) = 5
   To solve for the blank:
   $x + 3 = 5 \implies x = 5 - 3 = 2$
   Answer: 2

3. ____ + (-4) = 7
   To solve for the blank:
   $x - 4 = 7 \implies x = 7 + 4 = 11$
   Answer: 11

4. ____ + (-8) = -3
   To solve for the blank:
   $x - 8 = -3 \implies x = -3 + 8 = 5$
   Answer: 5

5. -2 + ____ = 1
   To solve for the blank:
   $-2 + x = 1 \implies x = 1 + 2 = 3$
   Answer: 3

6. ____ - 12 = -4
   To solve for the blank:
   $x - 12 = -4 \implies x = -4 + 12 = 8$
   Answer: 8

Code:

26 - 2 - 11 - 5 - 3 - 8

Would you like further explanations or clarifications?

Here are five related questions to expand your knowledge:

1. How do we solve linear equations with negative numbers?
2. What happens when we subtract a negative number from a positive one?
3. How can we apply inverse operations to isolate variables?
4. What are some common mistakes when working with integer arithmetic?
5. How do we handle equations with multiple variables?

Tip: Always double-check signs (positive/negative) when solving equations involving integers!