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Solve for P_n
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-\frac{7}{2}P_{n}-1=0
Combine \frac{1}{2}P_{n} and -4P_{n} to get -\frac{7}{2}P_{n}.
-\frac{7}{2}P_{n}=1
Add 1 to both sides. Anything plus zero gives itself.
P_{n}=1\left(-\frac{2}{7}\right)
Multiply both sides by -\frac{2}{7}, the reciprocal of -\frac{7}{2}.
P_{n}=-\frac{2}{7}
Multiply 1 and -\frac{2}{7} to get -\frac{2}{7}.