(2p+4)-8=(p+5)+2

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Solution for (2p+4)-8=(p+5)+2 equation: 


Simplifying
(2p + 4) + -8 = (p + 5) + 2

Reorder the terms:
(4 + 2p) + -8 = (p + 5) + 2

Remove parenthesis around (4 + 2p)
4 + 2p + -8 = (p + 5) + 2

Reorder the terms:
4 + -8 + 2p = (p + 5) + 2

Combine like terms: 4 + -8 = -4
-4 + 2p = (p + 5) + 2

Reorder the terms:
-4 + 2p = (5 + p) + 2

Remove parenthesis around (5 + p)
-4 + 2p = 5 + p + 2

Reorder the terms:
-4 + 2p = 5 + 2 + p

Combine like terms: 5 + 2 = 7
-4 + 2p = 7 + p

Solving
-4 + 2p = 7 + p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
-4 + 2p + -1p = 7 + p + -1p

Combine like terms: 2p + -1p = 1p
-4 + 1p = 7 + p + -1p

Combine like terms: p + -1p = 0
-4 + 1p = 7 + 0
-4 + 1p = 7

Add '4' to each side of the equation.
-4 + 4 + 1p = 7 + 4

Combine like terms: -4 + 4 = 0
0 + 1p = 7 + 4
1p = 7 + 4

Combine like terms: 7 + 4 = 11
1p = 11

Divide each side by '1'.
p = 11

Simplifying
p = 11

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