Simplify 5/14a+(-2/5c)+1/8b-2/5c+3/8b+7/14a

To simplify the expression, we need to combine like terms.

Simplifying the terms that have "a":
5/14a + 7/14a = (5+7)/14a = 12/14a = 6/7a

Simplifying the terms that have "b":
1/8b + 3/8b = (1+3)/8b = 4/8b = 1/2b

Simplifying the terms that have "c":
-2/5c + (-2/5c) = -4/5c

Putting it all together, the simplified expression is:

6/7a + 1/2b - 4/5c