3w-(6+w)=12

Solution for 3w-(6+w)=12 equation:

Simplifying
3w + -1(6 + w) = 12
3w + (6 * -1 + w * -1) = 12
3w + (-6 + -1w) = 12

Reorder the terms:
-6 + 3w + -1w = 12

Combine like terms: 3w + -1w = 2w
-6 + 2w = 12

Solving
-6 + 2w = 12

Solving for variable 'w'.

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

Add '6' to each side of the equation.
-6 + 6 + 2w = 12 + 6

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

Combine like terms: 12 + 6 = 18
2w = 18

Divide each side by '2'.
w = 9

Simplifying
w = 9