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5(a+4)+6(2a-3)-2(3a-5)=0
We simplify the equation to the form, which is simple to understand
5(a+4)+6(2a-3)-2(3a-5)=0
Reorder the terms in parentheses
+(+5a+20)+6*(2a-3)-2*(3a-5)=0
Remove unnecessary parentheses
+5a+20+6+*(+2a-3+)-2+*(+3a-5+)=0
Reorder the terms in parentheses
+5a+20+(+12a-18)-2*(3a-5)=0
Remove unnecessary parentheses
+5a+20+12a-18-2+*(+3a-5+)=0
Reorder the terms in parentheses
+5a+20+12a-18+(-6a+10)=0
Remove unnecessary parentheses
+5a+20+12a-18-6a+10=0
We move all terms containing a to the left and all other terms to the right.
+5a+12a-6a=0-20+18-10
We simplify left and right side of the equation.
+11a=-12
We divide both sides of the equation by 11 to get a.
a=-1.09090909091
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