3(w+2)+8w=-16

Solution for 3(w+2)+8w=-16 equation:

Simplifying
3(w + 2) + 8w = -16

Reorder the terms:
3(2 + w) + 8w = -16
(2 * 3 + w * 3) + 8w = -16
(6 + 3w) + 8w = -16

Combine like terms: 3w + 8w = 11w
6 + 11w = -16

Solving
6 + 11w = -16

Solving for variable 'w'.

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

Add '-6' to each side of the equation.
6 + -6 + 11w = -16 + -6

Combine like terms: 6 + -6 = 0
0 + 11w = -16 + -6
11w = -16 + -6

Combine like terms: -16 + -6 = -22
11w = -22

Divide each side by '11'.
w = -2

Simplifying
w = -2