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4n=3\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 4\left(n+3\right), the least common multiple of n+3,4.
4n=3n+9
Use the distributive property to multiply 3 by n+3.
4n-3n=9
Subtract 3n from both sides.
n=9
Combine 4n and -3n to get n.