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2(5a-4)-5(a-1)=3(a+6)-a
We simplify the equation to the form, which is simple to understand
2(5a-4)-5(a-1)=3(a+6)-a
Reorder the terms in parentheses
+(+10a-8)-5*(a-1)=3*(a+6)-a
Remove unnecessary parentheses
+10a-8-5+*(+a-1+)=+3+*(+a+6+)-a
Reorder the terms in parentheses
+10a-8+(-5a+5)=3*(a+6)-a
Remove unnecessary parentheses
+10a-8-5a+5=+3+*(+a+6+)-a
Reorder the terms in parentheses
+10a-8-5a+5=+(+3a+18)-a
Remove unnecessary parentheses
+10a-8-5a+5=+3a+18-a
We move all terms containing a to the left and all other terms to the right.
+10a-5a-3a+1a=+18+8-5
We simplify left and right side of the equation.
+3a=+21
We divide both sides of the equation by 3 to get a.
a=7
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