To solve this equation, we first need to distribute the fractions:

(6/9)(t) - (6/9)(9) + (2.5/9)(18) - (2.5/9)(t) = 0.2

Simplify:

(2/3)t - 2.67 + 5 - (5/18)t = 0.2

Combine like terms:

(2/3 - 5/18)t - 2.67 + 5 = 0.2

Convert the fractions to have a common denominator:

(12/18 - 5/18)t - 2.67 + 5 = 0.2

(7/18) t + 2.33 = 0.2

Subtract 2.33 from both sides:

(7/18) t = -2.13

Now, multiply by the reciprocal of 7/18 to solve for t:

t = (-2.13) * (18/7)

t = -5.47

Therefore, the solution to the equation is t = -5.47.