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a22+b2+c2+2=ab+bc+2c \large \dfrac{a^2}{2}+b^2+c^2+2=ab+bc+2c2a2+b2+c2+2=ab+bc+2c
If a,ba,ba,b and ccc are real numbers that satisfy the equation above, then find a+b+ca+b+ca+b+c.
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