Negative terms are to be subtracted instead of added.
Subtracting a negative addend reverses the operation upon itself and turns it into addition.
Order does not matter when adding elements together, as long as the final sum reflects all addends.
Grouping does not matter when adding elements together, as long as the final sum reflects all addends.
Subtraction is not commutative like addition, you cannot assume equality after the order of terms is changed.
Subtraction is not associative like addition, you cannot assume equality after the groupings are changed.
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