-5(p+4)=-(p-8)

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Solution for -5(p+4)=-(p-8) equation:


Simplifying
-5(p + 4) = -1(p + -8)

Reorder the terms:
-5(4 + p) = -1(p + -8)
(4 * -5 + p * -5) = -1(p + -8)
(-20 + -5p) = -1(p + -8)

Reorder the terms:
-20 + -5p = -1(-8 + p)
-20 + -5p = (-8 * -1 + p * -1)
-20 + -5p = (8 + -1p)

Solving
-20 + -5p = 8 + -1p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add 'p' to each side of the equation.
-20 + -5p + p = 8 + -1p + p

Combine like terms: -5p + p = -4p
-20 + -4p = 8 + -1p + p

Combine like terms: -1p + p = 0
-20 + -4p = 8 + 0
-20 + -4p = 8

Add '20' to each side of the equation.
-20 + 20 + -4p = 8 + 20

Combine like terms: -20 + 20 = 0
0 + -4p = 8 + 20
-4p = 8 + 20

Combine like terms: 8 + 20 = 28
-4p = 28

Divide each side by '-4'.
p = -7

Simplifying
p = -7

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