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f\times 20-f\times 50=0
Subtract f\times 50 from both sides.
-30f=0
Combine f\times 20 and -f\times 50 to get -30f.
f=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -30 is not equal to 0, f must be equal to 0.