Evaluate
-83+57i
Real Part
-83
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7-3i-10\left(9-6i\right)
Multiply 2i and 5i to get -10.
7-3i-10\times 9-10\times \left(-6i\right)
Multiply -10 times 9-6i.
7-3i+\left(-90+60i\right)
Do the multiplications in -10\times 9-10\times \left(-6i\right).
7-90+\left(-3+60\right)i
Combine the real and imaginary parts.
-83+57i
Do the additions.
Re(7-3i-10\left(9-6i\right))
Multiply 2i and 5i to get -10.
Re(7-3i-10\times 9-10\times \left(-6i\right))
Multiply -10 times 9-6i.
Re(7-3i+\left(-90+60i\right))
Do the multiplications in -10\times 9-10\times \left(-6i\right).
Re(7-90+\left(-3+60\right)i)
Combine the real and imaginary parts in 7-3i-90+60i.
Re(-83+57i)
Do the additions in 7-90+\left(-3+60\right)i.
-83
The real part of -83+57i is -83.
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