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-(3w+4)+5(w-2)-3(6w-8)=1
We simplify the equation to the form, which is simple to understand
-(3w+4)+5(w-2)-3(6w-8)=1
Remove unnecessary parentheses
-3w-4+5*(w-2)-3*(6w-8)=1
Reorder the terms in parentheses
-3w-4+(+5w-10)-3*(6w-8)=1
Remove unnecessary parentheses
-3w-4+5w-10-3+*(+6w-8+)=+1
Reorder the terms in parentheses
-3w-4+5w-10+(-18w+24)=1
Remove unnecessary parentheses
-3w-4+5w-10-18w+24=+1
We move all terms containing w to the left and all other terms to the right.
-3w+5w-18w=+1+4+10-24
We simplify left and right side of the equation.
-16w=-9
We divide both sides of the equation by -16 to get w.
w=0.5625
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