2(w-6)-7w=33

Solution for 2(w-6)-7w=33 equation:

Simplifying
2(w + -6) + -7w = 33

Reorder the terms:
2(-6 + w) + -7w = 33
(-6 * 2 + w * 2) + -7w = 33
(-12 + 2w) + -7w = 33

Combine like terms: 2w + -7w = -5w
-12 + -5w = 33

Solving
-12 + -5w = 33

Solving for variable 'w'.

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

Add '12' to each side of the equation.
-12 + 12 + -5w = 33 + 12

Combine like terms: -12 + 12 = 0
0 + -5w = 33 + 12
-5w = 33 + 12

Combine like terms: 33 + 12 = 45
-5w = 45

Divide each side by '-5'.
w = -9

Simplifying
w = -9