2w+2(2w+1)=42

Solution for 2w+2(2w+1)=42 equation:

Simplifying
2w + 2(2w + 1) = 42

Reorder the terms:
2w + 2(1 + 2w) = 42
2w + (1 * 2 + 2w * 2) = 42
2w + (2 + 4w) = 42

Reorder the terms:
2 + 2w + 4w = 42

Combine like terms: 2w + 4w = 6w
2 + 6w = 42

Solving
2 + 6w = 42

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 + 6w = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 6w = 42 + -2
6w = 42 + -2

Combine like terms: 42 + -2 = 40
6w = 40

Divide each side by '6'.
w = 6.666666667

Simplifying
w = 6.666666667