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5(w-1)=2-3(w-6)-4(2-w)+3
We simplify the equation to the form, which is simple to understand
5(w-1)=2-3(w-6)-4(2-w)+3
Reorder the terms in parentheses
+(+5w-5)=2-3*(w-6)-4*(2-w)+3
Remove unnecessary parentheses
+5w-5=+2-3+*(+w-6+)-4+*(+2-w+)+3
Reorder the terms in parentheses
+5w-5=2+(-3w+18)-4*(2-w)+3
Remove unnecessary parentheses
+5w-5=+2-3w+18-4+*(+2-w+)+3
Reorder the terms in parentheses
+5w-5=2-3w+18+(-8+4w)+3
Remove unnecessary parentheses
+5w-5=+2-3w+18-8+4w+3
We move all terms containing w to the left and all other terms to the right.
+5w+3w-4w=+2+18-8+3+5
We simplify left and right side of the equation.
+4w=+20
We divide both sides of the equation by 4 to get w.
w=5
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