The value of t is -25.6.
Given:

After rearranging

Move the constant term to the right side:
5t = -68(4)/23
5t = -128/5
Isolate t:
Divide both sides by 5:
t = -128/5 / 5
t = -128/25
Simplify the answer:
t = -25.6
Question:
Find value of t. 5t+ \frac{68(4)}{23}=0