Question

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

Answer 1

Step-by-step 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...

Answer 2

Answer:  " p = - 6 " .

___________________________________

Step-by-step explanation:

___________________________________

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:

___________________________________

 p  = - 6  .

___________________________________

Now, let us check our answer:

___________________________________

Given:   14 = - (p - 8) ;

Substitute our solved value:  "-6" ; for "p" ; to see if the equation holds true:

___________________________________

14 = - (p - 8)  ;

14 =? -(-6 - 8) ;

14 =? -(-14) ;

14 =? + 14 ?  Yes!

__________________________________

Hope this answer and explanation is helpful to you!

__________________________________