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What is 3n-2/5=7/10 solve please

User Kelyn
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1 Answer

3 votes

Answer:
\bold{n=(11)/(6)}

Explanation:


(3n-2)/(5)=(7)/(10)\\\\\\10(3n-2)=5(7)\qquad \longrightarrow \quad \text{(cross multiplied)}\\\\30n-20=35\qquad \longrightarrow \quad \text{(distributed)}\\\\30n=55\qquad \longrightarrow \quad \text{(added 20 to both sides)}\\\\n=(55)/(30)\qquad \longrightarrow \quad \text{(divided 30 from both sides)}\\\\n=(11)/(6)\quad \longrightarrow \quad \text{(simplified fraction)}\\\\\\\large\boxed{n=(11)/(6)}\\

User Keevin
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