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\frac{1}{4}-\frac{1}{2}r+\frac{3}{4}r=0
Add \frac{3}{4}r to both sides.
\frac{1}{4}+\frac{1}{4}r=0
Combine -\frac{1}{2}r and \frac{3}{4}r to get \frac{1}{4}r.
\frac{1}{4}r=-\frac{1}{4}
Subtract \frac{1}{4} from both sides. Anything subtracted from zero gives its negation.
r=-\frac{1}{4}\times 4
Multiply both sides by 4, the reciprocal of \frac{1}{4}.
r=-1
Cancel out 4 and 4.