It looks like you've entered a complex expression, but there seems to be a colon (:) symbol where a division sign should be. I'll assume that "9:3" and "14:7" represent division. I'll also assume the missing parentheses at the end of the second part. Here’s the expression rewritten with proper formatting:

\[
-3\left(-2 \times 4 + \frac{9}{3}\right) + \left(-3 + \frac{14}{7}\right)(1 - 2)
\]

Now, let’s solve this step-by-step:

### 1. Simplify inside the parentheses:
- First, simplify \(-2 \times 4 = -8\)
- Next, simplify \(\frac{9}{3} = 3\)
So, the first term becomes:
\[
-3(-8 + 3) = -3(-5)
\]

- In the second term, simplify \(\frac{14}{7} = 2\), so the expression becomes:
\[
-3 + 2 = -1
\]
Thus, the second term is:
\[
(-1)(1 - 2) = (-1)(-1) = 1
\]

### 2. Now substitute and simplify:
\[
-3(-5) + 1
\]

- Simplify the multiplication:
\[
15 + 1 = 16
\]

The value of the expression is \(16\).

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Would you like further clarification or more details on any of the steps?

Here are five related questions to expand your understanding:
1. How do parentheses impact the order of operations in complex expressions?
2. What is the significance of the distributive property in algebraic expressions?
3. How does negative multiplication affect the result of an equation?
4. Can you create similar problems with different coefficients?
5. What is the difference between positive and negative numbers in multiplication and addition?

**Tip**: Always follow the order of operations—Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)—often remembered as PEMDAS.

Explore how to solve the algebraic expression -3(-2*4+9:3)+(-3+14:7)*(1-2) by applying the order of operations (PEMDAS). This solution covers multiplication, division, addition, and subtraction step-by-step. Ideal for students in Grades 6-8 learning algebraic concepts and distributive properties.

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