# Add all the Equations?

Algebra Level 3

$\large \begin{cases} a^2+2b=7 \\ b^2+4c=-7 \\ c^2+6a=-14\end{cases}$

$$a,b$$ and $$c$$ are real numbers that satisfy the system of equations above. What is the value of $$a^2 + b^2 + c^2$$?

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