1. Stating the problem: Calculate the value of the expression $$(3-3) \cdot 5 - [2 - 4 \cdot (4 + 3) + 2] \cdot 3$$.
2. Apply the order of operations (parentheses, multiplication, addition/subtraction).
3. Simplify inside the parentheses first:
$$3-3=0$$
$$4+3=7$$
4. Substitute back:
$$0 \cdot 5 - [2 - 4 \cdot 7 + 2] \cdot 3$$
5. Calculate multiplication inside the brackets:
$$4 \cdot 7 = 28$$
6. Substitute:
$$0 - [2 - 28 + 2] \cdot 3$$
7. Simplify inside the brackets:
$$2 - 28 + 2 = (2 + 2) - 28 = 4 - 28 = -24$$
8. Substitute:
$$0 - (-24) \cdot 3$$
9. Multiply:
$$-24 \cdot 3 = -72$$
10. Substitute:
$$0 - (-72) = 0 + 72 = 72$$
Final answer: $$72$$
Expression Evaluation 39919C
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.