2(7w+2)+4(w-7)=72

Solution for 2(7w+2)+4(w-7)=72 equation:

Simplifying
2(7w + 2) + 4(w + -7) = 72

Reorder the terms:
2(2 + 7w) + 4(w + -7) = 72
(2 * 2 + 7w * 2) + 4(w + -7) = 72
(4 + 14w) + 4(w + -7) = 72

Reorder the terms:
4 + 14w + 4(-7 + w) = 72
4 + 14w + (-7 * 4 + w * 4) = 72
4 + 14w + (-28 + 4w) = 72

Reorder the terms:
4 + -28 + 14w + 4w = 72

Combine like terms: 4 + -28 = -24
-24 + 14w + 4w = 72

Combine like terms: 14w + 4w = 18w
-24 + 18w = 72

Solving
-24 + 18w = 72

Solving for variable 'w'.

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

Add '24' to each side of the equation.
-24 + 24 + 18w = 72 + 24

Combine like terms: -24 + 24 = 0
0 + 18w = 72 + 24
18w = 72 + 24

Combine like terms: 72 + 24 = 96
18w = 96

Divide each side by '18'.
w = 5.333333333

Simplifying
w = 5.333333333