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product and reaction are equality favored in the reaction
Lateral means side, quadrilateral (4 sides)
"Average" as in arithmetic mean is equal to (a1 + a2 + a3 + ... + an)/n, where ai are elements of a set.
I don't know about "mathematically" but the idiom is what you say when you don't want any change back from the money you paid for your items with -- it's leaving them a "tip" of the extra money.
if an equation is given the correct answer, it is mathematically correct.