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6/10+m=8/10
We move all terms to the left:
6/10+m-(8/10)=0
We add all the numbers together, and all the variables
m+6/10-(+8/10)=0
We get rid of parentheses
m+6/10-8/10=0
We multiply all the terms by the denominator
m*10+6-8=0
We add all the numbers together, and all the variables
m*10-2=0
Wy multiply elements
10m-2=0
We move all terms containing m to the left, all other terms to the right
10m=2
m=2/10
m=1/5
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