To simplify the expression \((-12 + 10i) - (-8 + i)\), follow these steps:
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Distribute the negative sign in front of the second parentheses: \[ -12 + 10i + 8 - i \]
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Combine the real parts and the imaginary parts:
- Real parts: \(-12 + 8 = -4\)
- Imaginary parts: \(10i - i = 9i\)
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Write the final simplified expression in the form \(a + bi\): \[ -4 + 9i \]
Therefore, the simplified form of the expression is \(\boxed{-4 + 9i}\).