Solve for n
n=10p
Solve for p
p=\frac{n}{10}
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\frac{1}{5}n=2p
The equation is in standard form.
\frac{\frac{1}{5}n}{\frac{1}{5}}=\frac{2p}{\frac{1}{5}}
Multiply both sides by 5.
n=\frac{2p}{\frac{1}{5}}
Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.
n=10p
Divide 2p by \frac{1}{5} by multiplying 2p by the reciprocal of \frac{1}{5}.
2p=\frac{1}{5}n
Swap sides so that all variable terms are on the left hand side.
2p=\frac{n}{5}
The equation is in standard form.
\frac{2p}{2}=\frac{n}{2\times 5}
Divide both sides by 2.
p=\frac{n}{2\times 5}
Dividing by 2 undoes the multiplication by 2.
p=\frac{n}{10}
Divide \frac{n}{5} by 2.
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