2(2w-2.5)+2w=40.6

Solution for 2(2w-2.5)+2w=40.6 equation:

Simplifying
2(2w + -2.5) + 2w = 40.6

Reorder the terms:
2(-2.5 + 2w) + 2w = 40.6
(-2.5 * 2 + 2w * 2) + 2w = 40.6
(-5 + 4w) + 2w = 40.6

Combine like terms: 4w + 2w = 6w
-5 + 6w = 40.6

Solving
-5 + 6w = 40.6

Solving for variable 'w'.

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

Add '5' to each side of the equation.
-5 + 5 + 6w = 40.6 + 5

Combine like terms: -5 + 5 = 0
0 + 6w = 40.6 + 5
6w = 40.6 + 5

Combine like terms: 40.6 + 5 = 45.6
6w = 45.6

Divide each side by '6'.
w = 7.6

Simplifying
w = 7.6