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Consider the linearly elastic plane frame shown in the figure. Members $\text{HF, FK and FG}$ are welded together at joint $F$. Joints $\text{K, G and H}$ are fixed supports. A counter-clockwise moment $M$ is applied at joint $F$. Consider flexural rigidity $EI = 10^{5} kN-m^{2}$ for each member and neglect axial deformations.

If the magnitude (absolute value) of the support moment at $H$ is $10$ $\text{kN-m}$, the magnitude (absolute value) of the applied moment $\text{M (in kN-m)}$ to maintain static equilibrium is __________________ .(round off to the nearest integer)

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