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Solve for n
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-5+\sqrt{n+7}=-2
Swap sides so that all variable terms are on the left hand side.
\sqrt{n+7}=-2+5
Add 5 to both sides.
\sqrt{n+7}=3
Add -2 and 5 to get 3.
n+7=9
Square both sides of the equation.
n+7-7=9-7
Subtract 7 from both sides of the equation.
n=9-7
Subtracting 7 from itself leaves 0.
n=2
Subtract 7 from 9.