Solve for k
k=\frac{2arg(a)}{\pi }-\frac{1}{4}
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8arg(a)=\pi +4\pi k
Multiply both sides of the equation by 2.
\pi +4\pi k=8arg(a)
Swap sides so that all variable terms are on the left hand side.
4\pi k=8arg(a)-\pi
Subtract \pi from both sides.
\frac{4\pi k}{4\pi }=\frac{8arg(a)-\pi }{4\pi }
Divide both sides by 4\pi .
k=\frac{8arg(a)-\pi }{4\pi }
Dividing by 4\pi undoes the multiplication by 4\pi .
k=\frac{2arg(a)}{\pi }-\frac{1}{4}
Divide 8arg(a)-\pi by 4\pi .
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