6=2(1+w)

Solution for 6=2(1+w) equation:

Simplifying
6 = 2(1 + w)
6 = (1 * 2 + w * 2)
6 = (2 + 2w)

Solving
6 = 2 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
6 + -2w = 2 + 2w + -2w

Combine like terms: 2w + -2w = 0
6 + -2w = 2 + 0
6 + -2w = 2

Add '-6' to each side of the equation.
6 + -6 + -2w = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -2w = 2 + -6
-2w = 2 + -6

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

Divide each side by '-2'.
w = 2

Simplifying
w = 2