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-\frac{5}{2}+\frac{21}{2}+m+2=0
Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.
\frac{-5+21}{2}+m+2=0
Since -\frac{5}{2} and \frac{21}{2} have the same denominator, add them by adding their numerators.
\frac{16}{2}+m+2=0
Add -5 and 21 to get 16.
8+m+2=0
Divide 16 by 2 to get 8.
10+m=0
Add 8 and 2 to get 10.
m=-10
Subtract 10 from both sides. Anything subtracted from zero gives its negation.