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(2+a)*(9+6)=43+2*(3+1)*(a+1)
We simplify the equation to the form, which is simple to understand
(2+a)*(9+6)=43+2*(3+1)*(a+1)
Reorder the terms in parentheses
multiplication of parentheses
(+30+15a)=43+2*(+4)*(a+1)
Remove unnecessary parentheses
+30+15a=43+2*(+4)*(a+1)
Reorder the terms in parentheses
multiplication of parentheses
+30+15a=43+2*(+4a+4)
Reorder the terms in parentheses
+30+15a=43+(+8a+8)
Remove unnecessary parentheses
+30+15a=+43+8a+8
We move all terms containing a to the left and all other terms to the right.
+15a-8a=+43+8-30
We simplify left and right side of the equation.
+7a=+21
We divide both sides of the equation by 7 to get a.
a=3
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