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n in (-oo:+oo)
7*n+(2/3)*n+5 = 7/6 // - 7/6
7*n+(2/3)*n-(7/6)+5 = 0
7*n+(2/3)*n-7/6+5 = 0
23/3*n+23/6 = 0 // - 23/6
23/3*n = -23/6 // : 23/3
n = -23/6/23/3
n = -1/2
n = -1/2
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