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

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

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

Reorder the terms:
7(-6 + w) + 2w = -33
(-6 * 7 + w * 7) + 2w = -33
(-42 + 7w) + 2w = -33

Combine like terms: 7w + 2w = 9w
-42 + 9w = -33

Solving
-42 + 9w = -33

Solving for variable 'w'.

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

Add '42' to each side of the equation.
-42 + 42 + 9w = -33 + 42

Combine like terms: -42 + 42 = 0
0 + 9w = -33 + 42
9w = -33 + 42

Combine like terms: -33 + 42 = 9
9w = 9

Divide each side by '9'.
w = 1

Simplifying
w = 1