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2a+4=4a-5
We move all terms to the left:
2a+4-(4a-5)=0
We get rid of parentheses
2a-4a+5+4=0
We add all the numbers together, and all the variables
-2a+9=0
We move all terms containing a to the left, all other terms to the right
-2a=-9
a=-9/-2
a=4+1/2
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