2w+2(3w+3)=34

Solution for 2w+2(3w+3)=34 equation:

Simplifying
2w + 2(3w + 3) = 34

Reorder the terms:
2w + 2(3 + 3w) = 34
2w + (3 * 2 + 3w * 2) = 34
2w + (6 + 6w) = 34

Reorder the terms:
6 + 2w + 6w = 34

Combine like terms: 2w + 6w = 8w
6 + 8w = 34

Solving
6 + 8w = 34

Solving for variable 'w'.

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

Add '-6' to each side of the equation.
6 + -6 + 8w = 34 + -6

Combine like terms: 6 + -6 = 0
0 + 8w = 34 + -6
8w = 34 + -6

Combine like terms: 34 + -6 = 28
8w = 28

Divide each side by '8'.
w = 3.5

Simplifying
w = 3.5