The image presents three equations where each results in the value $6$. Let's analyze them one by one:

1. $2 + 2 + 2 = 6$:

   • Straightforward addition: $2 + 2 + 2 = 6$.

2. $3 \times 3 - 3 = 6$:

   • Apply the order of operations (multiplication first): $3 \times 3 = 9$.
   • Subtract $3$: $9 - 3 = 6$.

3. $7 \, \, 7 \, \, 7 = 6$:

   • This uses a puzzle-like format where the arrangement of 7's involves a creative operator or interpretation. A common way to solve such puzzles is to place a mathematical operator or transformation between the digits. One solution is: $\frac{7 + 7}{7} = 6$
   • This simplifies as: $14 \div 7 = 6$

Would you like a deeper explanation of any part of this, or do you have a similar question?

Related Questions:

1. What are other creative equations where numbers equal 6?
2. Can we create equations like these for different numbers, say $10$ or $8$?
3. What role does the order of operations play in solving puzzles?
4. How can we solve other puzzles where digits seem "puzzling" (e.g., $8 \, 8 \, 8 = 1$)?
5. How is modular arithmetic applied in number puzzles?

Tip:

Always remember to prioritize the order of operations (PEMDAS/BODMAS) when solving equations with multiple steps.