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It is a ridiculous question, IMO. I voted to close.
The line
I cannot even carry out simple algebraic computations(moving terms across, integration by parts) that come almost everyday in my work because a priori I don't see why I need such manipulations
suggests to me that the OP's problems lie less with a conceptual grasp of algebra, and more with some pretty basic deficiencies. Perhaps he is overstating things here, but still ...
++Bill.
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