2w+2(w+1)=34

Solution for 2w+2(w+1)=34 equation:

Simplifying
2w + 2(w + 1) = 34

Reorder the terms:
2w + 2(1 + w) = 34
2w + (1 * 2 + w * 2) = 34
2w + (2 + 2w) = 34

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

Combine like terms: 2w + 2w = 4w
2 + 4w = 34

Solving
2 + 4w = 34

Solving for variable 'w'.

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

Add '-2' to each side of the equation.
2 + -2 + 4w = 34 + -2

Combine like terms: 2 + -2 = 0
0 + 4w = 34 + -2
4w = 34 + -2

Combine like terms: 34 + -2 = 32
4w = 32

Divide each side by '4'.
w = 8

Simplifying
w = 8