42=2w+2(2w)

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

Simplifying
42 = 2w + 2(2w)

Remove parenthesis around (2w)
42 = 2w + 2 * 2w

Multiply 2 * 2
42 = 2w + 4w

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

Solving
42 = 6w

Solving for variable 'w'.

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

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

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

Add '-42' to each side of the equation.
42 + -42 + -6w = 0 + -42

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

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

Divide each side by '-6'.
w = 7

Simplifying
w = 7