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8n+6-5.5n=22.5
We move all terms to the left:
8n+6-5.5n-(22.5)=0
We add all the numbers together, and all the variables
2.5n-16.5=0
We move all terms containing n to the left, all other terms to the right
2.5n=16.5
n=16.5/2.5
n=6+1/1.6666666666667
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