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5(1+2w)+8w=15
We simplify the equation to the form, which is simple to understand
5(1+2w)+8w=15
Reorder the terms in parentheses
+(+5+10w)+8w=15
Remove unnecessary parentheses
+5+10w+8w=+15
We move all terms containing w to the left and all other terms to the right.
+10w+8w=+15-5
We simplify left and right side of the equation.
+18w=+10
We divide both sides of the equation by 18 to get w.
w=0.555555555556
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