Simplify 5/14a+−2/5c+1/8b−2/5c+3/8b+7/14a

The given expression is:

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

First, let's simplify the expression by combining like terms with the same variable.

For the 'a' terms: (5/14a) + (7/14a) = (12/14a) = (6/7a)

For the 'b' terms: (1/8b) + (3/8b) = (4/8b) = (1/2b)

For the 'c' terms: (-2/5c) + (-2/5c) = (-4/5c)

Combining all the simplified terms, the expression becomes:
(6/7a) + (1/2b) + (-4/5c)