-6=-8w+2(w+3)

Solution for -6=-8w+2(w+3) equation:

Simplifying
-6 = -8w + 2(w + 3)

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

Reorder the terms:
-6 = 6 + -8w + 2w

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

Solving
-6 = 6 + -6w

Solving for variable 'w'.

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

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

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

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

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

Combine like terms: 6 + 6 = 12
6w = 12

Divide each side by '6'.
w = 2

Simplifying
w = 2