(5p-8)-p=(3p+8)-(5p-8)

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Solution for (5p-8)-p=(3p+8)-(5p-8) equation:


Simplifying
(5p + -8) + -1p = (3p + 8) + -1(5p + -8)

Reorder the terms:
(-8 + 5p) + -1p = (3p + 8) + -1(5p + -8)

Remove parenthesis around (-8 + 5p)
-8 + 5p + -1p = (3p + 8) + -1(5p + -8)

Combine like terms: 5p + -1p = 4p
-8 + 4p = (3p + 8) + -1(5p + -8)

Reorder the terms:
-8 + 4p = (8 + 3p) + -1(5p + -8)

Remove parenthesis around (8 + 3p)
-8 + 4p = 8 + 3p + -1(5p + -8)

Reorder the terms:
-8 + 4p = 8 + 3p + -1(-8 + 5p)
-8 + 4p = 8 + 3p + (-8 * -1 + 5p * -1)
-8 + 4p = 8 + 3p + (8 + -5p)

Reorder the terms:
-8 + 4p = 8 + 8 + 3p + -5p

Combine like terms: 8 + 8 = 16
-8 + 4p = 16 + 3p + -5p

Combine like terms: 3p + -5p = -2p
-8 + 4p = 16 + -2p

Solving
-8 + 4p = 16 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
-8 + 4p + 2p = 16 + -2p + 2p

Combine like terms: 4p + 2p = 6p
-8 + 6p = 16 + -2p + 2p

Combine like terms: -2p + 2p = 0
-8 + 6p = 16 + 0
-8 + 6p = 16

Add '8' to each side of the equation.
-8 + 8 + 6p = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 6p = 16 + 8
6p = 16 + 8

Combine like terms: 16 + 8 = 24
6p = 24

Divide each side by '6'.
p = 4

Simplifying
p = 4

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