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6x=n^{2}+9
Swap sides so that all variable terms are on the left hand side.
\frac{6x}{6}=\frac{n^{2}+9}{6}
Divide both sides by 6.
x=\frac{n^{2}+9}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{n^{2}}{6}+\frac{3}{2}
Divide n^{2}+9 by 6.