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6i\times 9+6\left(-1\right)i^{2}
Multiply 6i times 9-i.
6i\times 9+6\left(-1\right)\left(-1\right)
By definition, i^{2} is -1.
6+54i
Do the multiplications. Reorder the terms.
Re(6i\times 9+6\left(-1\right)i^{2})
Multiply 6i times 9-i.
Re(6i\times 9+6\left(-1\right)\left(-1\right))
By definition, i^{2} is -1.
Re(6+54i)
Do the multiplications in 6i\times 9+6\left(-1\right)\left(-1\right). Reorder the terms.
6
The real part of 6+54i is 6.