2/9n + 1/2 = 2/3(n+3) what does n equal?

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17-08-2016
Mathematics

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2/9n + 1/2 = 2/3(n+3) what does n equal?

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dalendrk dalendrk · Answer 1 · 2016-08-28T20:56:38+02:00

dalendrk dalendrk

28-08-2016

[tex]\dfrac{2}{9}n+\dfrac{1}{2}=\dfrac{2}{3}(n+3)\ \ \ \ \ |multiply\ both\ sides\ by\ 18\\\\2\cdot2n+9=6\cdot2(n+3)\\\\4n+9=12(n+3)\\\\4n+9=12n+36\ \ \ \ |subtract\ 9\ from\ both\ sides\\\\4n=12n+27\ \ \ \ |subtract\ 12n\ from\ both\ sides\\\\-8n=27\ \ \ \ \ |divide\ both\ sides\ by\ (-8)\\\\n=-\dfrac{27}{8}\\\\n=-3\dfrac{3}{8}[/tex]

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