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5\times 3=3\left(n+255\right)
Variable n cannot be equal to -255 since division by zero is not defined. Multiply both sides of the equation by 5\left(n+255\right), the least common multiple of n+255,5.
15=3\left(n+255\right)
Multiply 5 and 3 to get 15.
15=3n+765
Use the distributive property to multiply 3 by n+255.
3n+765=15
Swap sides so that all variable terms are on the left hand side.
3n=15-765
Subtract 765 from both sides.
3n=-750
Subtract 765 from 15 to get -750.
n=\frac{-750}{3}
Divide both sides by 3.
n=-250
Divide -750 by 3 to get -250.