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Real Part
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-4.2-8.6i+\left(7.1+8.2i\right)
The opposite of -7.1-8.2i is 7.1+8.2i.
-4.2+7.1+\left(-8.6+8.2\right)i
Combine the real and imaginary parts in numbers -4.2-8.6i and 7.1+8.2i.
2.9-0.4i
Add -4.2 to 7.1. Add -8.6 to 8.2.
Re(-4.2-8.6i+\left(7.1+8.2i\right))
The opposite of -7.1-8.2i is 7.1+8.2i.
Re(-4.2+7.1+\left(-8.6+8.2\right)i)
Combine the real and imaginary parts in numbers -4.2-8.6i and 7.1+8.2i.
Re(2.9-0.4i)
Add -4.2 to 7.1. Add -8.6 to 8.2.
2.9
The real part of 2.9-0.4i is 2.9.