Answer: " p = - 6 " .
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Step-by-step explanation:
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Given: 14 = - (p - 8) ; Solve for "p" ;
Rewrite as:
↔ - (p - 8) = 14 ;
which is the same as:
-1(p - 8) = 14 ; ;
Divide each side by "-1" ; to get rid of the "-1" ;
{-1(p - 8) } / -1 = {14} / -1 ;
to get:
(p - 8) = -14 ;
Rewrite as:
p - 8 = -14 ;
Now add "8" to each side of the equation;
to isolate "p" on one side of the equation; & to solve for "p" :
p - 8 + 8 = -14 + 8 ;
to get:
p = - 6 ;
which is the answer:
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p = - 6 .
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Now, let us check our answer:
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Given: 14 = - (p - 8) ;
Substitute our solved value: "-6" ; for "p" ; to see if the equation holds true:
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14 = - (p - 8) ;
14 =? -(-6 - 8) ;
14 =? -(-14) ;
14 =? + 14 ? Yes!
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Hope this answer and explanation is helpful to you!
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