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\sqrt{v+9}-2-\left(-2\right)=5-\left(-2\right)
Add 2 to both sides of the equation.
\sqrt{v+9}=5-\left(-2\right)
Subtracting -2 from itself leaves 0.
\sqrt{v+9}=7
Subtract -2 from 5.
v+9=49
Square both sides of the equation.
v+9-9=49-9
Subtract 9 from both sides of the equation.
v=49-9
Subtracting 9 from itself leaves 0.
v=40
Subtract 9 from 49.