42=2(6w)+2w

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

Simplifying
42 = 2(6w) + 2w

Remove parenthesis around (6w)
42 = 2 * 6w + 2w

Multiply 2 * 6
42 = 12w + 2w

Combine like terms: 12w + 2w = 14w
42 = 14w

Solving
42 = 14w

Solving for variable 'w'.

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

Add '-14w' to each side of the equation.
42 + -14w = 14w + -14w

Combine like terms: 14w + -14w = 0
42 + -14w = 0

Add '-42' to each side of the equation.
42 + -42 + -14w = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -14w = 0 + -42
-14w = 0 + -42

Combine like terms: 0 + -42 = -42
-14w = -42

Divide each side by '-14'.
w = 3

Simplifying
w = 3