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1+4n=10-14n
We move all terms to the left:
1+4n-(10-14n)=0
We add all the numbers together, and all the variables
4n-(-14n+10)+1=0
We get rid of parentheses
4n+14n-10+1=0
We add all the numbers together, and all the variables
18n-9=0
We move all terms containing n to the left, all other terms to the right
18n=9
n=9/18
n=1/2
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