Maggie did apply the communitive property correctly because she ordered the numbers in a different order but has the same value.
Step-by-step explanation:

Since we want to get ' p ' on left hand side , remove the number ' - 6 '.
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{ The opposite of -6 is +6 and whatever we do to one side , we must do to the another side. So, I added 6 on both sides }
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{ On the left hand side , 6-6 = 0. That's how we removed the 6 so just 'p' is left. On the right hand side , 5+6 = 11 }
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Always check your answer by substituting your answer for the variable that you solved for. This guarantees you a right answer !

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Answer:

Step-by-step explanation:
To compare the fractions we require them to have a common denominator.
The lowest common multiple of 3 and 7 is 21
Change both fractions into fractions with a denominator of 21
and 
=
and 
The numerator 14 is greater than 12, hence
is the larger fraction