https://file.aiquickdraw.com/mathbot/file/1725590414940x66u967h.jpg

The equation visible in the image is:

\[
3 - 7i + 5i - 1 - 4i
\]

We need to simplify it and write the answer in the form \( a + bi \), where \( a \) is the real part and \( b \) is the imaginary part.

### Simplification:
1. Combine the real parts: \( 3 - 1 = 2 \)
2. Combine the imaginary parts: \( -7i + 5i - 4i = -6i \)

Thus, the simplified form is:

\[
2 - 6i
\]

So the answer is \( 2 - 6i \).

Would you like more details or have any other questions?

Here are some related questions to practice:
1. Simplify \( 5 - 3i + 4i - 2 \).
2. Express \( 4 + 7i - 2 + 5i \) in standard form.
3. What is the result of \( (6 + 2i) + (3 - 5i) \)?
4. Simplify \( 2 + 4i - 1 - 3i + 5i \).
5. What is the real and imaginary part of \( 7 - 3i + 6 - 8i \)?

**Tip:** When simplifying complex numbers, always group real and imaginary parts separately for easier handling.

3 - 7i + 5i - 1 - 4i. Simplify your answer. Type your answer in the form a + bi.

Learn how to simplify the complex number expression 3 - 7i + 5i - 1 - 4i into its standard form a + bi. This problem focuses on the concept of complex numbers and involves grouping real and imaginary parts. Suitable for high school students.

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