In damped harmonic oscillation i have the equilibrium, Physics

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In damped harmonic oscillation i have the equilibrium

In damped harmonic oscillation I have the equilibrium height of my spring with weight, but not without. I know there is a method to finding this out but I don't know were to start. The equilibrium height with weight(.5kg) is .3192m. I have various graphs of motion of the spring. How do I set this up and solve it?

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