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a+55=4a-77
We move all terms to the left:
a+55-(4a-77)=0
We get rid of parentheses
a-4a+77+55=0
We add all the numbers together, and all the variables
-3a+132=0
We move all terms containing a to the left, all other terms to the right
-3a=-132
a=-132/-3
a=+44
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