Question

What is the inversion operation of this problem. z-8=91/3

Answer 1

It is a good idea to look at the operations performed on the variable from the point of view of order of operations. Here, the value 8 is subtracted from z.

Addition is the inverse operation of subtraction. To undo the subtraction of 8, you must add 8.

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Of course, anything you do to one side of the equation must also be done to the other side. That's what keeps the sides equal.
.. z -8 +8 = 91/3 +8
.. z = (91 +24)/3
.. z = 115/3