To solve this equation, we need to isolate the variable 'a' on one side of the equation.

Starting with the given equation:

1.4a + 14 = 0.6a + 0.4

First, we can simplify the equation by subtracting 0.6a from both sides to isolate the variable 'a':

1.4a - 0.6a + 14 = 0.4

0.8a + 14 = 0.4

Next, subtract 14 from both sides to further isolate 'a':

0.8a = 0.4 - 14

0.8a = -13.6

Now, divide by 0.8 to solve for 'a':

a = -13.6 / 0.8
a = -17

Therefore, the solution to the equation is a = -17.