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Whats the answer for this 14=-(p-8)

2 Answers

2 votes

Explanation:

Hey there!

Here;

14 = -(p-8) is given.

Perform the operations in right hand side.


14 = - p + 8

Shift "p" in left side and "14" in right side.


p = 8 - 14


p = - 6

Therefore the value of p is -6.

Check;

14 = -(-6-8)

14 = +6+8

14=14 (True).

Hope it helps...

User Najla
by
4.6k points
3 votes

Answer: " p = - 6 " .

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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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User MD XF
by
5.3k points