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a_{n}-3a_{n}=1
Subtract 3a_{n} from both sides.
-2a_{n}=1
Combine a_{n} and -3a_{n} to get -2a_{n}.
a_{n}=\frac{1}{-2}
Divide both sides by -2.
a_{n}=-\frac{1}{2}
Fraction \frac{1}{-2} can be rewritten as -\frac{1}{2} by extracting the negative sign.