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4m+9=5m-8/5

We move all terms to the left:

4m+9-(5m-8/5)=0

We add all the numbers together, and all the variables

4m-(+5m-8/5)+9=0

We get rid of parentheses

4m-5m+9+8/5=0

We multiply all the terms by the denominator

4m*5-5m*5+8+9*5=0

We add all the numbers together, and all the variables

4m*5-5m*5+53=0

Wy multiply elements

20m-25m+53=0

We add all the numbers together, and all the variables

-5m+53=0

We move all terms containing m to the left, all other terms to the right

-5m=-53

m=-53/-5

m=10+3/5

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