-4(w-3)=0-6+2w

Solution for -4(w-3)=0-6+2w equation:

Simplifying
-4(w + -3) = 0 + -6 + 2w

Reorder the terms:
-4(-3 + w) = 0 + -6 + 2w
(-3 * -4 + w * -4) = 0 + -6 + 2w
(12 + -4w) = 0 + -6 + 2w

Combine like terms: 0 + -6 = -6
12 + -4w = -6 + 2w

Solving
12 + -4w = -6 + 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.
12 + -4w + -2w = -6 + 2w + -2w

Combine like terms: -4w + -2w = -6w
12 + -6w = -6 + 2w + -2w

Combine like terms: 2w + -2w = 0
12 + -6w = -6 + 0
12 + -6w = -6

Add '-12' to each side of the equation.
12 + -12 + -6w = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -6w = -6 + -12
-6w = -6 + -12

Combine like terms: -6 + -12 = -18
-6w = -18

Divide each side by '-6'.
w = 3

Simplifying
w = 3