82=-2(7b+1)

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

Simplifying
82 = -2(7b + 1)

Reorder the terms:
82 = -2(1 + 7b)
82 = (1 * -2 + 7b * -2)
82 = (-2 + -14b)

Solving
82 = -2 + -14b

Solving for variable 'b'.

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

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

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

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

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

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

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

Simplifying
b = -6