Solve for k
k=\frac{n-1}{4}
Solve for n
n=4k+1
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n\pi =\pi +4\pi k
Multiply both sides of the equation by 4.
\pi +4\pi k=n\pi
Swap sides so that all variable terms are on the left hand side.
4\pi k=n\pi -\pi
Subtract \pi from both sides.
4\pi k=\pi n-\pi
The equation is in standard form.
\frac{4\pi k}{4\pi }=\frac{\pi \left(n-1\right)}{4\pi }
Divide both sides by 4\pi .
k=\frac{\pi \left(n-1\right)}{4\pi }
Dividing by 4\pi undoes the multiplication by 4\pi .
k=\frac{n-1}{4}
Divide \pi \left(-1+n\right) by 4\pi .
n\pi =\pi +4\pi k
Multiply both sides of the equation by 4.
\pi n=4\pi k+\pi
The equation is in standard form.
\frac{\pi n}{\pi }=\frac{4\pi k+\pi }{\pi }
Divide both sides by \pi .
n=\frac{4\pi k+\pi }{\pi }
Dividing by \pi undoes the multiplication by \pi .
n=4k+1
Divide \pi +4\pi k by \pi .
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