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6i-3j=v
Swap sides so that all variable terms are on the left hand side.
-3j=v-6i
Subtract 6i from both sides.
\frac{-3j}{-3}=\frac{v-6i}{-3}
Divide both sides by -3.
j=\frac{v-6i}{-3}
Dividing by -3 undoes the multiplication by -3.
j=-\frac{v}{3}+2i
Divide v-6i by -3.