What do you obtain when you solve the equation 4 - 3[-6(2 + 3) + 4]?

To solve the equation 4 - 3[-6(2 + 3) + 4], it’s essential to break it down step by step while following the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).

Start by resolving the expression inside the parentheses:

1. Calculate (2 + 3), which equals 5.

Next, substitute this back into the equation:

4 - 3[-6(5) + 4].

2. Then, multiply -6 by 5:

-6 * 5 = -30.

Now the equation looks like:

4 - 3[-30 + 4].

3. Perform the operation inside the bracket:

-30 + 4 equals -26.

Now, substitute that value back in:

4 - 3[-26].

4. Multiply -26 by -3:

-3 * -26 equals 78.

So, now the equation simplifies to:

4 + 78.

5. Finally, perform the last addition:

4 + 78 equals 82.

Thus, the correct answer is 82, which corresponds with the option provided as C. This logical sequence of calculations demonstrates how