Question

Question was provided via image upload.

Explanation:

Step1: Write original equation

$\frac{1}{2}u + 2 = u + 6$

Step2: Subtract $\frac{1}{2}u$ from both sides

$\frac{1}{2}u + 2 - \frac{1}{2}u = u + 6 - \frac{1}{2}u$
Simplify to: $2 = \frac{1}{2}u + 6$

Step3: Subtract 6 from both sides

$2 - 6 = \frac{1}{2}u + 6 - 6$
Simplify to: $-4 = \frac{1}{2}u$

Step4: Multiply both sides by 2

$-4 \times 2 = \frac{1}{2}u \times 2$
Simplify to: $-8 = u$

Answer:

$u = -8$