Given that a / b = C / D = E / F = 2 / 3, and 2b-d + 5F = 18, find the value of 2a-c + 5E

Given that a / b = C / D = E / F = 2 / 3, and 2b-d + 5F = 18, find the value of 2a-c + 5E

From the known data, it can be concluded that:
b=3a/2,d=3c/2,f=3e/2
Substituting 2b-d + 5F = 8, we can get the following results
2*3a/2-3c/2+5*3e/2=8
Multiply left and right by two at the same time
6a-3c+15e=16
Divide left and right by 3 at the same time to get
2a-c+5e=16/3