-82=2(1+7n)

Solution for -82=2(1+7n) equation:

Simplifying
-82 = 2(1 + 7n)
-82 = (1 * 2 + 7n * 2)
-82 = (2 + 14n)

Solving
-82 = 2 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
-82 + -14n = 2 + 14n + -14n

Combine like terms: 14n + -14n = 0
-82 + -14n = 2 + 0
-82 + -14n = 2

Add '82' to each side of the equation.
-82 + 82 + -14n = 2 + 82

Combine like terms: -82 + 82 = 0
0 + -14n = 2 + 82
-14n = 2 + 82

Combine like terms: 2 + 82 = 84
-14n = 84

Divide each side by '-14'.
n = -6

Simplifying
n = -6