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 = 32
32 + 14w + -4w = 72

Combine like terms: 14w + -4w = 10w
32 + 10w = 72

Solving
32 + 10w = 72

Solving for variable 'w'.

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

Add '-32' to each side of the equation.
32 + -32 + 10w = 72 + -32

Combine like terms: 32 + -32 = 0
0 + 10w = 72 + -32
10w = 72 + -32

Combine like terms: 72 + -32 = 40
10w = 40

Divide each side by '10'.
w = 4

Simplifying
w = 4