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4=n\times 5-1
Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by n^{2}, the least common multiple of n^{2},n.
n\times 5-1=4
Swap sides so that all variable terms are on the left hand side.
n\times 5=4+1
Add 1 to both sides.
n\times 5=5
Add 4 and 1 to get 5.
n=\frac{5}{5}
Divide both sides by 5.
n=1
Divide 5 by 5 to get 1.