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-2m+1=m+2
Variable m cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by -2m+1.
-2m+1-m=2
Subtract m from both sides.
-3m+1=2
Combine -2m and -m to get -3m.
-3m=2-1
Subtract 1 from both sides.
-3m=1
Subtract 1 from 2 to get 1.
m=\frac{1}{-3}
Divide both sides by -3.
m=-\frac{1}{3}
Fraction \frac{1}{-3} can be rewritten as -\frac{1}{3} by extracting the negative sign.