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\frac{1+4}{5}=4160+a
Since \frac{1}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.
\frac{5}{5}=4160+a
Add 1 and 4 to get 5.
1=4160+a
Divide 5 by 5 to get 1.
4160+a=1
Swap sides so that all variable terms are on the left hand side.
a=1-4160
Subtract 4160 from both sides.
a=-4159
Subtract 4160 from 1 to get -4159.