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8/9=-4w
We move all terms to the left:
8/9-(-4w)=0
We get rid of parentheses
4w+8/9=0
We multiply all the terms by the denominator
4w*9+8=0
Wy multiply elements
36w+8=0
We move all terms containing w to the left, all other terms to the right
36w=-8
w=-8/36
w=-2/9
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