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

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Solution for 28+p=-8(2-p)+4p equation:


Simplifying
28 + p = -8(2 + -1p) + 4p
28 + p = (2 * -8 + -1p * -8) + 4p
28 + p = (-16 + 8p) + 4p

Combine like terms: 8p + 4p = 12p
28 + p = -16 + 12p

Solving
28 + p = -16 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
28 + p + -12p = -16 + 12p + -12p

Combine like terms: p + -12p = -11p
28 + -11p = -16 + 12p + -12p

Combine like terms: 12p + -12p = 0
28 + -11p = -16 + 0
28 + -11p = -16

Add '-28' to each side of the equation.
28 + -28 + -11p = -16 + -28

Combine like terms: 28 + -28 = 0
0 + -11p = -16 + -28
-11p = -16 + -28

Combine like terms: -16 + -28 = -44
-11p = -44

Divide each side by '-11'.
p = 4

Simplifying
p = 4

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