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2n=-2+\frac{1}{2}
Add \frac{1}{2} to both sides.
2n=-\frac{4}{2}+\frac{1}{2}
Convert -2 to fraction -\frac{4}{2}.
2n=\frac{-4+1}{2}
Since -\frac{4}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
2n=-\frac{3}{2}
Add -4 and 1 to get -3.
n=\frac{-\frac{3}{2}}{2}
Divide both sides by 2.
n=\frac{-3}{2\times 2}
Express \frac{-\frac{3}{2}}{2} as a single fraction.
n=\frac{-3}{4}
Multiply 2 and 2 to get 4.
n=-\frac{3}{4}
Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.