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

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

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

Reorder the terms:
2(3 + 2w) + 2(w) = 42
(3 * 2 + 2w * 2) + 2(w) = 42
(6 + 4w) + 2(w) = 42

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

Solving
6 + 6w = 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 + 6w = 42 + -6

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

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

Divide each side by '6'.
w = 6

Simplifying
w = 6