82=2(1+5n)

Solution for 82=2(1+5n) equation:

Simplifying
82 = 2(1 + 5n)
82 = (1 * 2 + 5n * 2)
82 = (2 + 10n)

Solving
82 = 2 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
82 + -10n = 2 + 10n + -10n

Combine like terms: 10n + -10n = 0
82 + -10n = 2 + 0
82 + -10n = 2

Add '-82' to each side of the equation.
82 + -82 + -10n = 2 + -82

Combine like terms: 82 + -82 = 0
0 + -10n = 2 + -82
-10n = 2 + -82

Combine like terms: 2 + -82 = -80
-10n = -80

Divide each side by '-10'.
n = 8

Simplifying
n = 8