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12(a-1)-4(2a-1)=2(a+1)
We simplify the equation to the form, which is simple to understand
12(a-1)-4(2a-1)=2(a+1)
Reorder the terms in parentheses
+(+12a-12)-4*(2a-1)=2*(a+1)
Remove unnecessary parentheses
+12a-12-4+*(+2a-1+)=+2+*(+a+1+)
Reorder the terms in parentheses
+12a-12+(-8a+4)=2*(a+1)
Remove unnecessary parentheses
+12a-12-8a+4=+2+*(+a+1+)
Reorder the terms in parentheses
+12a-12-8a+4=+(+2a+2)
Remove unnecessary parentheses
+12a-12-8a+4=+2a+2
We move all terms containing a to the left and all other terms to the right.
+12a-8a-2a=+2+12-4
We simplify left and right side of the equation.
+2a=+10
We divide both sides of the equation by 2 to get a.
a=5
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