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Solve for p
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3+\sqrt{p+1}=10
Swap sides so that all variable terms are on the left hand side.
\sqrt{p+1}=10-3
Subtract 3 from both sides.
\sqrt{p+1}=7
Subtract 3 from 10 to get 7.
p+1=49
Square both sides of the equation.
p+1-1=49-1
Subtract 1 from both sides of the equation.
p=49-1
Subtracting 1 from itself leaves 0.
p=48
Subtract 1 from 49.