Metric tensor - index manipulation

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zn5252
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hello,
Do I have the right to perform the following :

gjo,i + g0i,j = (gj0 δij + g0i ),j = (2 g0i ),j

Thank you,
Clear skies,
 
I see. this is related to my attempt to solving MTW Ex 19.2 where I need to find the ij0 component of the Christoffel Symbol with a zero time derivative of the gij.