Making use of the fact that the Helmholtz free energy (A(N, V, T)) of a thermodynamic system

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Making use of the fact that the Helmholtz free energy \(A(N, V, T)\) of a thermodynamic system is an extensive property of the system, show that

\[
N\left(\frac{\partial A}{\partial N}ight)_{V, T}+V\left(\frac{\partial A}{\partial V}ight)_{N, T}=A
\]

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