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\frac{1}{2}m=4-\frac{3}{2}
Subtract \frac{3}{2} from both sides.
\frac{1}{2}m=\frac{8}{2}-\frac{3}{2}
Convert 4 to fraction \frac{8}{2}.
\frac{1}{2}m=\frac{8-3}{2}
Since \frac{8}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{2}m=\frac{5}{2}
Subtract 3 from 8 to get 5.
m=\frac{5}{2}\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
m=5
Cancel out 2 and 2.