Question

solve for $u$.
$-4(-2u + 8) - 9u = 5(u - 2) - 6$
simplify your answer as much as possible.
$u = \square$

Explanation:

Step1: Expand both sides

$(-4)(-2u) + (-4)(8) - 9u = 5(u) + 5(-2) - 6$
$8u - 32 - 9u = 5u - 10 - 6$

Step2: Combine like terms

$-u - 32 = 5u - 16$

Step3: Isolate u terms

$-u - 5u = -16 + 32$
$-6u = 16$

Step4: Solve for u

$u = \frac{16}{-6} = -\frac{8}{3}$

Answer:

$u = -\frac{8}{3}$