Solve for a
a=2+6i-ib
Solve for b
b=ia+\left(6-2i\right)
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a=2+6i-bi
Subtract bi from both sides.
a=2+6i-ib
Multiply -1 and i to get -i.
bi=2+6i-a
Subtract a from both sides.
ib=2+6i-a
The equation is in standard form.
\frac{ib}{i}=\frac{2+6i-a}{i}
Divide both sides by i.
b=\frac{2+6i-a}{i}
Dividing by i undoes the multiplication by i.
b=ia+\left(6-2i\right)
Divide 2+6i-a by i.
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