Solve for m
m=\frac{z_{1}-4i}{3}
Solve for z_1
z_{1}=3m+4i
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3m+4i=z_{1}
Swap sides so that all variable terms are on the left hand side.
3m=z_{1}-4i
Subtract 4i from both sides.
\frac{3m}{3}=\frac{z_{1}-4i}{3}
Divide both sides by 3.
m=\frac{z_{1}-4i}{3}
Dividing by 3 undoes the multiplication by 3.
m=\frac{z_{1}}{3}-\frac{4}{3}i
Divide z_{1}-4i by 3.
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