Derivation of the absolute scale of temperature

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Shauryafrom2006
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TL;DR
I can't figure out the derivation of this formula.
It is from [ Class 11th] SL Arora, pg no. 11.3, the heading is [11.7] Absolute Scale of Temperature.
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This is just Charles law (V/T is onstant at constant pressure), with T expressed in degrees Celsius, so you get (T+273.15) in the expression, instead of t
 
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