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-a=-2xe^{2x}
Subtract 2xe^{2x} from both sides. Anything subtracted from zero gives its negation.
\frac{-a}{-1}=-\frac{2xe^{2x}}{-1}
Divide both sides by -1.
a=-\frac{2xe^{2x}}{-1}
Dividing by -1 undoes the multiplication by -1.
a=2xe^{2x}
Divide -2xe^{2x} by -1.