Final answer:
To solve for u in the given equation, we can start by combining like terms on both sides, then clear the fractions and simplify, and finally solve for u by dividing both sides by the coefficient of u.
Step-by-step explanation:
To solve for u in the given equation, we can start by combining like terms on both sides:
-\(\frac{7}{3}u+\frac{2}{5}=-3u-\frac{1}{5}\)
Multiplying both sides by 15 to clear the fractions, we get:
-35u + 6 = -45u - 3
Next, we can add 45u to both sides and subtract 6 from both sides:
10u = -9
Finally, dividing both sides by 10 gives us the solution:
u = -\(\frac{9}{10}\)