The order of operations agreement rules are:
1.Do inside of parenthesis.
2.Do all exponents.
3.Multiplication or division from left to right.
3.Addition or subtraction from left to right.
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It has nothing to do with agreement or negotiation. There's only one order of operations that leads to the correct outcome.
Because if you did operations in an impermissible order, or violated laws of operations, then your solution to the equation is wrong.
Because if you perform the operations in a different order your answer will be wrong.
The order of operations relate to solving multi-step equations because you are following the order of operations just in a backwards way.
The last two operations in P.E.M.D.A.S are 'addition' and 'subtraction'.