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8+4(a-1)-5(a-3)=2(5-2a)
We simplify the equation to the form, which is simple to understand
8+4(a-1)-5(a-3)=2(5-2a)
Reorder the terms in parentheses
8+(+4a-4)-5*(a-3)=2*(5-2a)
Remove unnecessary parentheses
+8+4a-4-5+*(+a-3+)=+2+*(+5-2a+)
Reorder the terms in parentheses
8+4a-4+(-5a+15)=2*(5-2a)
Remove unnecessary parentheses
+8+4a-4-5a+15=+2+*(+5-2a+)
Reorder the terms in parentheses
8+4a-4-5a+15=+(+10-4a)
Remove unnecessary parentheses
+8+4a-4-5a+15=+10-4a
We move all terms containing a to the left and all other terms to the right.
+4a-5a+4a=+10-8+4-15
We simplify left and right side of the equation.
+3a=-9
We divide both sides of the equation by 3 to get a.
a=-3
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