Question

Question 1

Answer 1

Answer:  " n = - 4 " .
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Step-by-step explanation:

Given:
 -n + 8  = 12 ;  solve for "n" ;

Subtract "8" from each side of the equation:

-n + 8 - 8 = 12 - 8 ;

to get:
 -n = 4 ;

Which is the same as:
 -1n = 4 ;

Divide each side of the equation by "-1" ; to isolate "n" on one side of the equation; and to solve for "n" :

  -1n / -1 = 4 / -1 ;

 to get:
    " n = - 4 " ;  which is our answer.
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Now, let's check our answer:
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→ by plugging in our value obtained for "n" ; which is " - 4 " ;
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-(-4)  +  8 ≟  12 ?? ;
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From the "left-hand sign" of the equation:
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 " - (-4) = ⁺ 4 " ;  
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Note:  The opposite of negative value; or the negative of a negative value; is equal to that very positive value.
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⇒ " 4  +  8  ≟  12 ? ;

⇒ " 12  ≟  12 ? ;   Yes!

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The correct answer is:  " n = - 4 " .
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Hope this helps!  Best wishes!
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