82=3p+8(p+2)

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Solution for 82=3p+8(p+2) equation: 


Simplifying
82 = 3p + 8(p + 2)

Reorder the terms:
82 = 3p + 8(2 + p)
82 = 3p + (2 * 8 + p * 8)
82 = 3p + (16 + 8p)

Reorder the terms:
82 = 16 + 3p + 8p

Combine like terms: 3p + 8p = 11p
82 = 16 + 11p

Solving
82 = 16 + 11p

Solving for variable 'p'.

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

Add '-11p' to each side of the equation.
82 + -11p = 16 + 11p + -11p

Combine like terms: 11p + -11p = 0
82 + -11p = 16 + 0
82 + -11p = 16

Add '-82' to each side of the equation.
82 + -82 + -11p = 16 + -82

Combine like terms: 82 + -82 = 0
0 + -11p = 16 + -82
-11p = 16 + -82

Combine like terms: 16 + -82 = -66
-11p = -66

Divide each side by '-11'.
p = 6

Simplifying
p = 6

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