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Real Part
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-2i\left(-5\right)-2\times 5i^{2}
Multiply -2i times -5+5i.
-2i\left(-5\right)-2\times 5\left(-1\right)
By definition, i^{2} is -1.
10+10i
Do the multiplications. Reorder the terms.
Re(-2i\left(-5\right)-2\times 5i^{2})
Multiply -2i times -5+5i.
Re(-2i\left(-5\right)-2\times 5\left(-1\right))
By definition, i^{2} is -1.
Re(10+10i)
Do the multiplications in -2i\left(-5\right)-2\times 5\left(-1\right). Reorder the terms.
10
The real part of 10+10i is 10.