setarakan persamaan reaksi dari Cu(s) +HNO3(aq)~Cu(NO3)2(aq)+NO(g)+H2. beserta dengan cara penyelesaiannya. mohon bantuannya

a Cu + b HNO3 -> c CU(NO3)2 + d NO + e H2O

Cu -> a = c
H -> b = 2e
N -> b = 2c + d
O -> 3b = 6c + d + e

misal a = 3
c = 3

b = 2c + d
b = 6 + d

3b = 6c + d + e
3b = 18 + d + e
b = 6 + d/3 + e/3

b = b
6 + d = 6 + d/3 + e/3
2/3 d = e/3
2d = e

b = 2e
b = 4d

b=b
6 + d = 4d
3d = 6
d = 2

b = 6 + d
b = 6 + 2
b = 8

b = 2e
8 = 2e
e = 4

3Cu + 8 HNO3 -> 3Cu(NO3)2 + 2 NO + 4H2O