2(w+6)=-7w

Solution for 2(w+6)=-7w equation:

Simplifying
2(w + 6) = -7w

Reorder the terms:
2(6 + w) = -7w
(6 * 2 + w * 2) = -7w
(12 + 2w) = -7w

Solving
12 + 2w = -7w

Solving for variable 'w'.

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

Add '7w' to each side of the equation.
12 + 2w + 7w = -7w + 7w

Combine like terms: 2w + 7w = 9w
12 + 9w = -7w + 7w

Combine like terms: -7w + 7w = 0
12 + 9w = 0

Add '-12' to each side of the equation.
12 + -12 + 9w = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 9w = 0 + -12
9w = 0 + -12

Combine like terms: 0 + -12 = -12
9w = -12

Divide each side by '9'.
w = -1.333333333

Simplifying
w = -1.333333333