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\frac{1}{2}f-2-\frac{1}{6}f=0
Subtract \frac{1}{6}f from both sides.
\frac{1}{3}f-2=0
Combine \frac{1}{2}f and -\frac{1}{6}f to get \frac{1}{3}f.
\frac{1}{3}f=2
Add 2 to both sides. Anything plus zero gives itself.
f=2\times 3
Multiply both sides by 3, the reciprocal of \frac{1}{3}.
f=6
Multiply 2 and 3 to get 6.