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2(u+3)=5(2-3u)
We simplify the equation to the form, which is simple to understand
2(u+3)=5(2-3u)
Reorder the terms in parentheses
+(+2u+6)=5*(2-3u)
Remove unnecessary parentheses
+2u+6=+5+*(+2-3u+)
Reorder the terms in parentheses
+2u+6=+(+10-15u)
Remove unnecessary parentheses
+2u+6=+10-15u
We move all terms containing u to the left and all other terms to the right.
+2u+15u=+10-6
We simplify left and right side of the equation.
+17u=+4
We divide both sides of the equation by 17 to get u.
u=0.23529411764706
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