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Simplify. −(0.6i − 6.3) − (−0.5i + 7.1) Write your answer in the form a + bi.

Simplify.
−(0.6i − 6.3) − (−0.5i + 7.1)
Write your answer in the form a + bi.

Answer

First, distribute the negative signs:

  1. −(0.6i − 6.3) becomes −0.6i + 6.3
  2. −(−0.5i + 7.1) becomes +0.5i − 7.1

Combine the expressions:

  1. Real part: 6.3 − 7.1 = −0.8
  2. Imaginary part: −0.6i + 0.5i = −0.1i

The simplified form is: −0.8 − 0.1i

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