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4(w-6)-9=-5(-6w+7)-8w
We move all terms to the left:
4(w-6)-9-(-5(-6w+7)-8w)=0
We multiply parentheses
4w-(-5(-6w+7)-8w)-24-9=0
We calculate terms in parentheses: -(-5(-6w+7)-8w), so:We add all the numbers together, and all the variables
-5(-6w+7)-8w
We add all the numbers together, and all the variables
-8w-5(-6w+7)
We multiply parentheses
-8w+30w-35
We add all the numbers together, and all the variables
22w-35
Back to the equation:
-(22w-35)
4w-(22w-35)-33=0
We get rid of parentheses
4w-22w+35-33=0
We add all the numbers together, and all the variables
-18w+2=0
We move all terms containing w to the left, all other terms to the right
-18w=-2
w=-2/-18
w=1/9
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