2(p+4)=25+(7-p)

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Solution for 2(p+4)=25+(7-p) equation:


Simplifying
2(p + 4) = 25 + (7 + -1p)

Reorder the terms:
2(4 + p) = 25 + (7 + -1p)
(4 * 2 + p * 2) = 25 + (7 + -1p)
(8 + 2p) = 25 + (7 + -1p)

Remove parenthesis around (7 + -1p)
8 + 2p = 25 + 7 + -1p

Combine like terms: 25 + 7 = 32
8 + 2p = 32 + -1p

Solving
8 + 2p = 32 + -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.
8 + 2p + p = 32 + -1p + p

Combine like terms: 2p + p = 3p
8 + 3p = 32 + -1p + p

Combine like terms: -1p + p = 0
8 + 3p = 32 + 0
8 + 3p = 32

Add '-8' to each side of the equation.
8 + -8 + 3p = 32 + -8

Combine like terms: 8 + -8 = 0
0 + 3p = 32 + -8
3p = 32 + -8

Combine like terms: 32 + -8 = 24
3p = 24

Divide each side by '3'.
p = 8

Simplifying
p = 8

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