2w+2(w+6)=72

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

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

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

Reorder the terms:
12 + 2w + 2w = 72

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

Solving
12 + 4w = 72

Solving for variable 'w'.

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

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

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

Combine like terms: 72 + -12 = 60
4w = 60

Divide each side by '4'.
w = 15

Simplifying
w = 15