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A-\frac{-A+6}{6}=0
Subtract \frac{-A+6}{6} from both sides.
6A-\left(-A+6\right)=0
Multiply both sides of the equation by 6.
6A-\left(-A\right)-6=0
To find the opposite of -A+6, find the opposite of each term.
6A+A-6=0
The opposite of -A is A.
7A-6=0
Combine 6A and A to get 7A.
7A=6
Add 6 to both sides. Anything plus zero gives itself.
A=\frac{6}{7}
Divide both sides by 7.