82=2(n+3)+2n

Solution for 82=2(n+3)+2n equation:

Simplifying
82 = 2(n + 3) + 2n

Reorder the terms:
82 = 2(3 + n) + 2n
82 = (3 * 2 + n * 2) + 2n
82 = (6 + 2n) + 2n

Combine like terms: 2n + 2n = 4n
82 = 6 + 4n

Solving
82 = 6 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
82 + -4n = 6 + 4n + -4n

Combine like terms: 4n + -4n = 0
82 + -4n = 6 + 0
82 + -4n = 6

Add '-82' to each side of the equation.
82 + -82 + -4n = 6 + -82

Combine like terms: 82 + -82 = 0
0 + -4n = 6 + -82
-4n = 6 + -82

Combine like terms: 6 + -82 = -76
-4n = -76

Divide each side by '-4'.
n = 19

Simplifying
n = 19