55=7*(n+1)/2-4*(n-1)/2

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Solution for 55=7*(n+1)/2-4*(n-1)/2 equation: 


n in (-oo:+oo)

55 = (7*(n+1))/2-((4*(n-1))/2) // - (7*(n+1))/2-((4*(n-1))/2)

(4*(n-1))/2-((7*(n+1))/2)+55 = 0

(-7/2)*(n+1)+(4*(n-1))/2+55 = 0

(4*(n-1))/2-7/2*(n+1)+55 = 0

(-7/2*2*(n+1))/2+(4*(n-1))/2+(2*55)/2 = 0

4*(n-1)-7/2*2*(n+1)+2*55 = 0

110-3*n-11 = 0

99-3*n = 0

(99-3*n)/2 = 0

(99-3*n)/2 = 0 // * 2

99-3*n = 0

99-3*n = 0 // - 99

-3*n = -99 // : -3

n = -99/(-3)

n = 33

n = 33

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