3(2+w)-4w=w+16

Solution for 3(2+w)-4w=w+16 equation:

Simplifying
3(2 + w) + -4w = w + 16
(2 * 3 + w * 3) + -4w = w + 16
(6 + 3w) + -4w = w + 16

Combine like terms: 3w + -4w = -1w
6 + -1w = w + 16

Reorder the terms:
6 + -1w = 16 + w

Solving
6 + -1w = 16 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
6 + -1w + -1w = 16 + w + -1w

Combine like terms: -1w + -1w = -2w
6 + -2w = 16 + w + -1w

Combine like terms: w + -1w = 0
6 + -2w = 16 + 0
6 + -2w = 16

Add '-6' to each side of the equation.
6 + -6 + -2w = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -2w = 16 + -6
-2w = 16 + -6

Combine like terms: 16 + -6 = 10
-2w = 10

Divide each side by '-2'.
w = -5

Simplifying
w = -5