2(2w+6)+2w=42

Solution for 2(2w+6)+2w=42 equation:

Simplifying
2(2w + 6) + 2w = 42

Reorder the terms:
2(6 + 2w) + 2w = 42
(6 * 2 + 2w * 2) + 2w = 42
(12 + 4w) + 2w = 42

Combine like terms: 4w + 2w = 6w
12 + 6w = 42

Solving
12 + 6w = 42

Solving for variable 'w'.

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

Add '-12' to each side of the equation.
12 + -12 + 6w = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 6w = 42 + -12
6w = 42 + -12

Combine like terms: 42 + -12 = 30
6w = 30

Divide each side by '6'.
w = 5

Simplifying
w = 5