2w+2(w+4.75)=137.50

Solution for 2w+2(w+4.75)=137.50 equation:

Simplifying
2w + 2(w + 4.75) = 137.50

Reorder the terms:
2w + 2(4.75 + w) = 137.50
2w + (4.75 * 2 + w * 2) = 137.50
2w + (9.5 + 2w) = 137.50

Reorder the terms:
9.5 + 2w + 2w = 137.50

Combine like terms: 2w + 2w = 4w
9.5 + 4w = 137.50

Solving
9.5 + 4w = 137.50

Solving for variable 'w'.

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

Add '-9.5' to each side of the equation.
9.5 + -9.5 + 4w = 137.50 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + 4w = 137.50 + -9.5
4w = 137.50 + -9.5

Combine like terms: 137.50 + -9.5 = 128
4w = 128

Divide each side by '4'.
w = 32

Simplifying
w = 32