Let's break down the expression in question:

$7 - 3(5^2 + 1) \div 6$

Step-by-step simplification:

1. Simplify the power: Calculate $5^2 = 25$, so the expression becomes: $7 - 3(25 + 1) \div 6$

2. Add inside the parentheses: $25 + 1 = 26$, giving us: $7 - 3(26) \div 6$

3. Multiply: Now multiply $3 \times 26 = 78$, so it becomes: $7 - 78 \div 6$

4. Divide: Now divide $78 \div 6 = 13$, so: $7 - 13$

5. Subtract: Finally, subtract $7 - 13 = -6$.

The final result is $-6$.

Now, looking at the steps and matching them with the provided answer choices:

• C: Simplify the power. Add. Multiply. Subtract. Divide.

Answer C is the correct order of operations.

Would you like more details on any of the steps, or do you have any questions?

Here are some related questions to explore:

1. What is the general rule for the order of operations (PEMDAS)?
2. How do powers affect the order of operations in complex expressions?
3. How can parentheses change the way an expression is simplified?
4. What happens if division is performed before multiplication?
5. How do we handle fractions in similar operations?

Tip: Always follow the PEMDAS/BODMAS rule to ensure the correct order of operations in simplifying expressions!