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\sqrt{u-9}-5-\left(-5\right)=5-\left(-5\right)
Add 5 to both sides of the equation.
\sqrt{u-9}=5-\left(-5\right)
Subtracting -5 from itself leaves 0.
\sqrt{u-9}=10
Subtract -5 from 5.
u-9=100
Square both sides of the equation.
u-9-\left(-9\right)=100-\left(-9\right)
Add 9 to both sides of the equation.
u=100-\left(-9\right)
Subtracting -9 from itself leaves 0.
u=109
Subtract -9 from 100.