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3\left(n+3\right)-12=16
Multiply both sides of the equation by 24, the least common multiple of 8,2,3.
3n+9-12=16
Use the distributive property to multiply 3 by n+3.
3n-3=16
Subtract 12 from 9 to get -3.
3n=16+3
Add 3 to both sides.
3n=19
Add 16 and 3 to get 19.
n=\frac{19}{3}
Divide both sides by 3.