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How solve the equation a(n-3)+8=bn solve for n

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a(n-3) + 8 = bn

an - 3a + 8 = bn

an - 3a + 8 = bn

-3a + 8 = bn - an

-3a + 8 = n(b-a)


\boxed{n=(-3a + 8)/(b-a)}

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