8w+9(4-w)=33

Solution for 8w+9(4-w)=33 equation:

Simplifying
8w + 9(4 + -1w) = 33
8w + (4 * 9 + -1w * 9) = 33
8w + (36 + -9w) = 33

Reorder the terms:
36 + 8w + -9w = 33

Combine like terms: 8w + -9w = -1w
36 + -1w = 33

Solving
36 + -1w = 33

Solving for variable 'w'.

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

Add '-36' to each side of the equation.
36 + -36 + -1w = 33 + -36

Combine like terms: 36 + -36 = 0
0 + -1w = 33 + -36
-1w = 33 + -36

Combine like terms: 33 + -36 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3