You need to know the following:
1. The "difference" is the result of a subtraction.
2. The word "times" indicates a multiplication.
3. The sum is the result of an addition.
Let be "n" the number mentioned in the exercise.
Knowing the explained above, you know that "the difference of a number and 6" can expressed as:
[tex]n-6[/tex]And "5 times the sum of the number and 2" can be expressed as:
[tex]5(n+2)[/tex]Therefore, "the difference of a number and 6 is the same as 5 times the sum of the number and 2" can be written as the following equation:
[tex]n-6=5(n+2)[/tex]Now, in order to find the number, you must solve for "n":
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