6=2(w-3)-8w

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

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

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

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