6=-4w+2(w+8)

Solution for 6=-4w+2(w+8) equation:

Simplifying
6 = -4w + 2(w + 8)

Reorder the terms:
6 = -4w + 2(8 + w)
6 = -4w + (8 * 2 + w * 2)
6 = -4w + (16 + 2w)

Reorder the terms:
6 = 16 + -4w + 2w

Combine like terms: -4w + 2w = -2w
6 = 16 + -2w

Solving
6 = 16 + -2w

Solving for variable 'w'.

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

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

Combine like terms: -2w + 2w = 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