Solve for a
a=8-iv
Solve for v
v=ia-8i
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-8+a=-iv
Subtract iv from both sides. Anything subtracted from zero gives its negation.
a=-iv+8
Add 8 to both sides.
iv+a=8
Add 8 to both sides. Anything plus zero gives itself.
iv=8-a
Subtract a from both sides.
\frac{iv}{i}=\frac{8-a}{i}
Divide both sides by i.
v=\frac{8-a}{i}
Dividing by i undoes the multiplication by i.
v=ia-8i
Divide 8-a by i.
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