0.2u=–0.5+3(0.8u+0.9)

Sure, let's solve the equation step by step:

0.2u = -0.5 + 3(0.8u + 0.9)

First, distribute the 3 to both terms inside the parentheses:

0.2u = -0.5 + 2.4u + 2.7

Combine like terms on the right side:

0.2u = 2.4u + 2.2

Next, subtract 2.4u from both sides to get the variable on one side:

0.2u - 2.4u = 2.2

This simplifies to:

-2.2u = 2.2

Finally, divide both sides by -2.2 to solve for u:

u = 2.2 / -2.2

So, u = -1.