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\sqrt{v+3}-1-\left(-1\right)=7-\left(-1\right)
Add 1 to both sides of the equation.
\sqrt{v+3}=7-\left(-1\right)
Subtracting -1 from itself leaves 0.
\sqrt{v+3}=8
Subtract -1 from 7.
v+3=64
Square both sides of the equation.
v+3-3=64-3
Subtract 3 from both sides of the equation.
v=64-3
Subtracting 3 from itself leaves 0.
v=61
Subtract 3 from 64.