72=2(w-6)+2w

Solution for 72=2(w-6)+2w equation:

Simplifying
72 = 2(w + -6) + 2w

Reorder the terms:
72 = 2(-6 + w) + 2w
72 = (-6 * 2 + w * 2) + 2w
72 = (-12 + 2w) + 2w

Combine like terms: 2w + 2w = 4w
72 = -12 + 4w

Solving
72 = -12 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
72 + -4w = -12 + 4w + -4w

Combine like terms: 4w + -4w = 0
72 + -4w = -12 + 0
72 + -4w = -12

Add '-72' to each side of the equation.
72 + -72 + -4w = -12 + -72

Combine like terms: 72 + -72 = 0
0 + -4w = -12 + -72
-4w = -12 + -72

Combine like terms: -12 + -72 = -84
-4w = -84

Divide each side by '-4'.
w = 21

Simplifying
w = 21