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4\left(n+12\right)=n
Multiply both sides of the equation by 16, the least common multiple of 4,16.
4n+48=n
Use the distributive property to multiply 4 by n+12.
4n+48-n=0
Subtract n from both sides.
3n+48=0
Combine 4n and -n to get 3n.
3n=-48
Subtract 48 from both sides. Anything subtracted from zero gives its negation.
n=\frac{-48}{3}
Divide both sides by 3.
n=-16
Divide -48 by 3 to get -16.