82=2(w*2+5)+2(w)

Solution for 82=2(w*2+5)+2(w) equation:

Simplifying
82 = 2(w * 2 + 5) + 2(w)

Reorder the terms for easier multiplication:
82 = 2(2w + 5) + 2(w)

Reorder the terms:
82 = 2(5 + 2w) + 2(w)
82 = (5 * 2 + 2w * 2) + 2(w)
82 = (10 + 4w) + 2(w)

Combine like terms: 4w + 2w = 6w
82 = 10 + 6w

Solving
82 = 10 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
82 + -6w = 10 + 6w + -6w

Combine like terms: 6w + -6w = 0
82 + -6w = 10 + 0
82 + -6w = 10

Add '-82' to each side of the equation.
82 + -82 + -6w = 10 + -82

Combine like terms: 82 + -82 = 0
0 + -6w = 10 + -82
-6w = 10 + -82

Combine like terms: 10 + -82 = -72
-6w = -72

Divide each side by '-6'.
w = 12

Simplifying
w = 12