please excuse my dear aunt sally
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Because if you did operations in an impermissible order, or violated laws of operations, then your solution to the equation is wrong.
It is the property of operations such as addition or multiplication which state that the order in which the operations are carried out does not affect the result. That is, (A + B) + C = A + (B + C) and so, without ambiguity, you can write these as A + B + C.
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.
No professions use order of operations. It is just a method of solving an equation.