The equation in the image is:

$-4 + 7 \times 7 - 5 \div [1 + 3(0)] =$

Let’s solve it step-by-step:

1. First, simplify the expression inside the brackets: $1 + 3(0) = 1 + 0 = 1$

   Now, the equation becomes: $-4 + 7 \times 7 - 5 \div 1$

2. Next, apply the order of operations (PEMDAS/BODMAS):

   • Multiplication first: $7 \times 7 = 49$ Now the equation is: $-4 + 49 - 5 \div 1$

   • Division next: $5 \div 1 = 5$ Now the equation becomes: $-4 + 49 - 5$

3. Finally, perform the addition and subtraction from left to right: $-4 + 49 = 45$ $45 - 5 = 40$

So, the final answer is: $\boxed{40}$

Would you like more details, or do you have any questions?

Here are 5 related questions to explore further:

1. What are the rules of the order of operations in mathematics?
2. How do parentheses affect the calculation of an expression?
3. Can you provide an example where brackets are nested within each other?
4. How does division of a negative number work in equations?
5. What happens if you change the division sign to multiplication in the equation?

Tip: Always simplify expressions inside brackets or parentheses first when solving complex equations.