Respuesta :

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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