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\sqrt{k+56}-74-\left(-74\right)=-73-\left(-74\right)
Add 74 to both sides of the equation.
\sqrt{k+56}=-73-\left(-74\right)
Subtracting -74 from itself leaves 0.
\sqrt{k+56}=1
Subtract -74 from -73.
k+56=1
Square both sides of the equation.
k+56-56=1-56
Subtract 56 from both sides of the equation.
k=1-56
Subtracting 56 from itself leaves 0.
k=-55
Subtract 56 from 1.