If a2 + b2 + c2 + 3 = 2(a - b - c), then the value of 2a - b + c is?

Answer: Option D

$$\begin{array}{rl}& a^2+b^2+c^2+3=2\left(a-b-c\right)\\ & \Rightarrow a^2+b^2+c^2+3-2a+2b+2c=0\\ & \Rightarrow a^2-2a+1+b^2+2b+1+c^2+2c+1=0\\ & \Rightarrow {\left(a-1\right)}^2+{\left(b+1\right)}^2+{\left(c+1\right)}^2=0\\ & a=1\\ & b=-1\\ & c=-1\\ & \therefore 2a-b+c\\ & =2+1-1\\ & =2\end{array}$$