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I believe that it should look like this: 

if we say that the number we want to find is x, we will get: 

\frac{x}{6}=x-40 <--- that's because diminish means to substract. So the number we're looking for needs to be both divided by 6 (left side of the equation) and substracted with 40 (right side of the equation). 

After that it's easier: 


After that we can also check if the equation checks out too: 


I hope it's right now ;) 
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