2w+2(w+3)=42

Solution for 2w+2(w+3)=42 equation:

Simplifying
2w + 2(w + 3) = 42

Reorder the terms:
2w + 2(3 + w) = 42
2w + (3 * 2 + w * 2) = 42
2w + (6 + 2w) = 42

Reorder the terms:
6 + 2w + 2w = 42

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

Solving
6 + 4w = 42

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 + 4w = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 4w = 42 + -6
4w = 42 + -6

Combine like terms: 42 + -6 = 36
4w = 36

Divide each side by '4'.
w = 9

Simplifying
w = 9