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-4(w-8)=-6w+24
We move all terms to the left:
-4(w-8)-(-6w+24)=0
We multiply parentheses
-4w-(-6w+24)+32=0
We get rid of parentheses
-4w+6w-24+32=0
We add all the numbers together, and all the variables
2w+8=0
We move all terms containing w to the left, all other terms to the right
2w=-8
w=-8/2
w=-4
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