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

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

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

Remove parenthesis around (6 + w)
6 + w = 6(2 + w)
6 + w = (2 * 6 + w * 6)
6 + w = (12 + 6w)

Solving
6 + w = 12 + 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.
6 + w + -6w = 12 + 6w + -6w

Combine like terms: w + -6w = -5w
6 + -5w = 12 + 6w + -6w

Combine like terms: 6w + -6w = 0
6 + -5w = 12 + 0
6 + -5w = 12

Add '-6' to each side of the equation.
6 + -6 + -5w = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -5w = 12 + -6
-5w = 12 + -6

Combine like terms: 12 + -6 = 6
-5w = 6

Divide each side by '-5'.
w = -1.2

Simplifying
w = -1.2