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\frac{5}{2}r-\frac{1}{2}r-5=-8
To find the opposite of \frac{1}{2}r+5, find the opposite of each term.
2r-5=-8
Combine \frac{5}{2}r and -\frac{1}{2}r to get 2r.
2r=-8+5
Add 5 to both sides.
2r=-3
Add -8 and 5 to get -3.
r=\frac{-3}{2}
Divide both sides by 2.
r=-\frac{3}{2}
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.