380=2(w+1)+2(w+20)

Solution for 380=2(w+1)+2(w+20) equation:

Simplifying
380 = 2(w + 1) + 2(w + 20)

Reorder the terms:
380 = 2(1 + w) + 2(w + 20)
380 = (1 * 2 + w * 2) + 2(w + 20)
380 = (2 + 2w) + 2(w + 20)

Reorder the terms:
380 = 2 + 2w + 2(20 + w)
380 = 2 + 2w + (20 * 2 + w * 2)
380 = 2 + 2w + (40 + 2w)

Reorder the terms:
380 = 2 + 40 + 2w + 2w

Combine like terms: 2 + 40 = 42
380 = 42 + 2w + 2w

Combine like terms: 2w + 2w = 4w
380 = 42 + 4w

Solving
380 = 42 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
380 + -4w = 42 + 4w + -4w

Combine like terms: 4w + -4w = 0
380 + -4w = 42 + 0
380 + -4w = 42

Add '-380' to each side of the equation.
380 + -380 + -4w = 42 + -380

Combine like terms: 380 + -380 = 0
0 + -4w = 42 + -380
-4w = 42 + -380

Combine like terms: 42 + -380 = -338
-4w = -338

Divide each side by '-4'.
w = 84.5

Simplifying
w = 84.5