2w+2(w+4.25)=128.5

Solution for 2w+2(w+4.25)=128.5 equation:

Simplifying
2w + 2(w + 4.25) = 128.5

Reorder the terms:
2w + 2(4.25 + w) = 128.5
2w + (4.25 * 2 + w * 2) = 128.5
2w + (8.5 + 2w) = 128.5

Reorder the terms:
8.5 + 2w + 2w = 128.5

Combine like terms: 2w + 2w = 4w
8.5 + 4w = 128.5

Solving
8.5 + 4w = 128.5

Solving for variable 'w'.

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

Add '-8.5' to each side of the equation.
8.5 + -8.5 + 4w = 128.5 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + 4w = 128.5 + -8.5
4w = 128.5 + -8.5

Combine like terms: 128.5 + -8.5 = 120
4w = 120

Divide each side by '4'.
w = 30

Simplifying
w = 30