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Real Part
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-5i+3+\left(-6+i\right)
Multiply -1 and 6-i to get -6+i.
3-6+\left(-5+1\right)i
Combine the real and imaginary parts.
-3-4i
Do the additions.
Re(-5i+3+\left(-6+i\right))
Multiply -1 and 6-i to get -6+i.
Re(3-6+\left(-5+1\right)i)
Combine the real and imaginary parts in -5i+3+\left(-6+i\right).
Re(-3-4i)
Do the additions in 3-6+\left(-5+1\right)i.
-3
The real part of -3-4i is -3.