To simplify the expression \(-15 - 6i - 15i + 6\), we can group like terms:

\[
(-15 + 6) + (-6i - 15i)
\]

1. Combine the real numbers: \(-15 + 6 = -9\).
2. Combine the imaginary numbers: \(-6i - 15i = -21i\).

Thus, the simplified expression is:

\[
-9 - 21i
\]

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. How do you simplify expressions with multiple imaginary terms?
2. What is the general form of a complex number?
3. How do you add or subtract complex numbers?
4. How are real and imaginary parts of a complex number combined?
5. What operations can you perform on complex numbers?

**Tip:** Always group real and imaginary parts separately when simplifying complex numbers.

Learn how to simplify the complex number expression -15 - 6i - 15i + 6 by combining real and imaginary parts. This solution covers essential algebraic concepts involving complex numbers, making it suitable for high school students in Grades 9-12.

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