6(w+7)+2w=-22

Solution for 6(w+7)+2w=-22 equation:

Simplifying
6(w + 7) + 2w = -22

Reorder the terms:
6(7 + w) + 2w = -22
(7 * 6 + w * 6) + 2w = -22
(42 + 6w) + 2w = -22

Combine like terms: 6w + 2w = 8w
42 + 8w = -22

Solving
42 + 8w = -22

Solving for variable 'w'.

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

Add '-42' to each side of the equation.
42 + -42 + 8w = -22 + -42

Combine like terms: 42 + -42 = 0
0 + 8w = -22 + -42
8w = -22 + -42

Combine like terms: -22 + -42 = -64
8w = -64

Divide each side by '8'.
w = -8

Simplifying
w = -8