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Real Part
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1-1+\left(1+1\right)i
Combine the real and imaginary parts.
2i
Do the additions.
Re(1-1+\left(1+1\right)i)
Combine the real and imaginary parts in 1+i+i-1.
Re(2i)
Do the additions in 1-1+\left(1+1\right)i.
0
The real part of 2i is 0.