6=3(w-2)+3w

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

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

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

Combine like terms: 3w + 3w = 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