Question

solve for u.
0.2u = -0.5 + 3(0.8u + 0.9)
u =

Explanation:

Step1: Expand the right-hand side

$0.2u = -0.5 + 3\times0.8u + 3\times0.9$
$0.2u = -0.5 + 2.4u + 2.7$

Step2: Simplify constants on right

$0.2u = 2.4u + (-0.5 + 2.7)$
$0.2u = 2.4u + 2.2$

Step3: Isolate u terms on one side

$0.2u - 2.4u = 2.2$
$-2.2u = 2.2$

Step4: Solve for u

$u = \frac{2.2}{-2.2}$

Answer:

$-1$