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If \(x^2-yz-zw-wy=116 \) , \(y^2-zw-wx-xz=117\) , \( z^2 - wx - xy - yw = 130 \) and \( w^2 - xy - yz - zx = 134 \), then find the value of \( x^2 + y^2 + z^2 +w^2 \).

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