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3-5(3w-6)=7(5-3w)-9
We simplify the equation to the form, which is simple to understand
3-5(3w-6)=7(5-3w)-9
Reorder the terms in parentheses
3+(-15w+30)=7*(5-3w)-9
Remove unnecessary parentheses
+3-15w+30=+7+*(+5-3w+)-9
Reorder the terms in parentheses
3-15w+30=+(+35-21w)-9
Remove unnecessary parentheses
+3-15w+30=+35-21w-9
We move all terms containing w to the left and all other terms to the right.
-15w+21w=+35-9-3-30
We simplify left and right side of the equation.
+6w=-7
We divide both sides of the equation by 6 to get w.
w=-1.1666666666667
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