To solve \(\left(-5 + 2i\right) + \left(3 - 7i\right)\), follow these steps:

1. **Add the real parts**:  
   \(-5 + 3 = -2\)

2. **Add the imaginary parts**:  
   \(2i + (-7i) = -5i\)

So, the result is:
\[
\left(-5 + 2i\right) + \left(3 - 7i\right) = -2 - 5i
\]

Would you like further details or have any questions?

Here are 5 related questions to practice:
1. \(\left(4 + 6i\right) + \left(-2 + 3i\right)\)
2. \(\left(1 - i\right) + \left(3 + 2i\right)\)
3. \(\left(-7 + 5i\right) - \left(2 - 3i\right)\)
4. \(\left(6 - 8i\right) + \left(-4 + 9i\right)\)
5. \(\left(2 + i\right) + \left(-1 - 6i\right)\)

**Tip**: When adding or subtracting complex numbers, always handle the real and imaginary parts separately.

Learn how to add the complex numbers (-5 + 2i) and (3 - 7i) with a detailed step-by-step explanation. This solution covers the addition of real and imaginary parts separately, which is an important concept in algebra and complex number operations. Ideal for high school students in Grades 10-12.

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