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1=5\left(n-3\right)
Variable n cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by n-3.
1=5n-15
Use the distributive property to multiply 5 by n-3.
5n-15=1
Swap sides so that all variable terms are on the left hand side.
5n=1+15
Add 15 to both sides.
5n=16
Add 1 and 15 to get 16.
n=\frac{16}{5}
Divide both sides by 5.