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The given expression is:

\[
(7 - 9i) - (6 + 2i)
\]

To simplify this expression into the form \(a + bi\), follow these steps:

### Step 1: Distribute the negative sign to both terms in the second set of parentheses:
\[
(7 - 9i) - (6 + 2i) = 7 - 9i - 6 - 2i
\]

### Step 2: Combine the real and imaginary parts:
- Real part: \( 7 - 6 = 1 \)
- Imaginary part: \(-9i - 2i = -11i\)

### Final Answer:
\[
1 - 11i
\]

Thus, the expression simplified to \( a + bi \) form is:

\[
1 - 11i
\]

Would you like any further explanation or details? Here are some follow-up questions for practice:

1. How do you add or subtract two complex numbers in general?
2. What is the significance of the imaginary unit \(i\) in complex numbers?
3. How would you multiply two complex numbers?
4. How can you convert a complex number into polar form?
5. What is the modulus of a complex number?

**Tip:** When simplifying expressions involving complex numbers, always separate the real and imaginary parts before combining them.

Simplify the expression to a + bi form: (7 - 9i) - (6 + 2i)

Learn how to simplify complex numbers in the form of (a + bi). This problem demonstrates the subtraction of complex numbers and combining real and imaginary parts, providing a detailed solution for students in Grades 9-12.

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