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\sqrt{9n}+8=11
Swap sides so that all variable terms are on the left hand side.
\sqrt{9n}=11-8
Subtract 8 from both sides.
\sqrt{9n}=3
Subtract 8 from 11 to get 3.
9n=9
Square both sides of the equation.
\frac{9n}{9}=\frac{9}{9}
Divide both sides by 9.
n=\frac{9}{9}
Dividing by 9 undoes the multiplication by 9.
n=1
Divide 9 by 9.