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Real Part
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6i\times 5+6\times 8i^{2}
Multiply 6i times 5+8i.
6i\times 5+6\times 8\left(-1\right)
By definition, i^{2} is -1.
-48+30i
Do the multiplications. Reorder the terms.
Re(6i\times 5+6\times 8i^{2})
Multiply 6i times 5+8i.
Re(6i\times 5+6\times 8\left(-1\right))
By definition, i^{2} is -1.
Re(-48+30i)
Do the multiplications in 6i\times 5+6\times 8\left(-1\right). Reorder the terms.
-48
The real part of -48+30i is -48.