Let's solve the expression step by step:

1. **Evaluate the exponentiation**:
   \[
   -\left(3\right)^{2} = -(3 \times 3) = -9
   \]

2. **Multiply**:
   \[
   5 \cdot 2 = 10
   \]

3. **Add the results**:
   \[
   -9 + 10 = 1
   \]

So, the value of the expression \(-\left(3\right)^{2} + 5 \cdot 2\) is **1**.

Would you like more details or have any questions? Here are some related problems:

1. Simplify \(-\left(4\right)^{2} + 6 \cdot 3\).
2. What is the value of \(-\left(2\right)^{3} + 4 \cdot 3\)?
3. Evaluate \(-\left(5\right)^{2} + 7 \cdot 2\).
4. Solve \(-\left(6\right)^{2} + 8 \cdot 2\).
5. What is \(-\left(7\right)^{2} + 9 \cdot 2\)?

**Tip:** Always follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and then addition and subtraction (from left to right).

Explore how to solve the expression -(3)^2 + 5 * 2 by following the order of operations. This problem highlights key concepts in exponentiation, multiplication, and addition. Perfect for students in Grades 6-8.

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