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Solve for L_5
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3L_{5}=\frac{1}{604795}L_{5}+1
Variable L_{5} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6L_{5}, the least common multiple of 2,6L_{5}.
3L_{5}-\frac{1}{604795}L_{5}=1
Subtract \frac{1}{604795}L_{5} from both sides.
\frac{1814384}{604795}L_{5}=1
Combine 3L_{5} and -\frac{1}{604795}L_{5} to get \frac{1814384}{604795}L_{5}.
L_{5}=1\times \frac{604795}{1814384}
Multiply both sides by \frac{604795}{1814384}, the reciprocal of \frac{1814384}{604795}.
L_{5}=\frac{604795}{1814384}
Multiply 1 and \frac{604795}{1814384} to get \frac{604795}{1814384}.