2 – 6:3·4 -5·(-1) - [(-4)·(-3) -18: (-9)] =



Let's break down and solve the given expression step by step:

\[
2 - \frac{6}{3} \cdot 4 - 5 \cdot (-1) - \left[ (-4) \cdot (-3) - \frac{18}{-9} \right]
\]

### Step 1: Simplify the divisions
\[
2 - 2 \cdot 4 - 5 \cdot (-1) - \left[ (-4) \cdot (-3) - (-2) \right]
\]
\[
\frac{6}{3} = 2 \quad \text{and} \quad \frac{18}{-9} = -2
\]

### Step 2: Simplify the multiplications
\[
2 - 8 + 5 - \left[ 12 + 2 \right]
\]
Multiplying:
\[
2 \cdot 4 = 8 \quad \text{and} \quad (-4) \cdot (-3) = 12 \quad \text{and} \quad 5 \cdot (-1) = -5
\]

### Step 3: Simplify the expression inside the brackets
\[
2 - 8 + 5 - [14]
\]

### Step 4: Simplify the entire expression
\[
2 - 8 + 5 - 14 = -6 - 14 = -20
\]

Thus, the value of the expression is:

\[
\boxed{-20}
\]

Would you like further details or have any questions?

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Here are 5 related questions to deepen your understanding:
1. What is the difference between negative and positive multiplication?
2. How do you prioritize operations in an expression with brackets and divisions?
3. Can you identify the terms and coefficients in the expression \(5 \cdot (-1)\)?
4. What happens when you multiply two negative numbers together?
5. How would the expression change if we switched the division signs?

**Tip:** Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)) to simplify expressions correctly.

2 – 6:3·4 -5·(-1) - [(-4)·(-3) -18: (-9)] =

Solve the complex expression 2 – 6:3·4 -5·(-1) - [(-4)·(-3) -18: (-9)] step by step using PEMDAS (order of operations). Learn how to handle negative numbers, multiplication, and division. Perfect for students in Grades 6-8.

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