Answer:
w=2
Explanation:
Simplifying
4w + -9(6 + -5w) = 44
4w + (6 * -9 + -5w * -9) = 44
4w + (-54 + 45w) = 44
Reorder the terms:
-54 + 4w + 45w = 44
Combine like terms: 4w + 45w = 49w
-54 + 49w = 44
Solving
-54 + 49w = 44
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '54' to each side of the equation.
-54 + 54 + 49w = 44 + 54
Combine like terms: -54 + 54 = 0
0 + 49w = 44 + 54
49w = 44 + 54
Combine like terms: 44 + 54 = 98
49w = 98
Divide each side by '49'.
w = 2
Simplifying
w = 2