Question

we have u terms on both sides of the equation, and we want to get the u terms on one side. we can subtract \\(\frac{1}{2}u\\) on the left side of the equation so that there are no u terms on the left. then we need to subtract \\(\frac{1}{2}u\\) from the right to keep the equation balanced. go for it. \\(\frac{1}{2}u + 2 = u + 6\\) \\(-\frac{1}{2}u\\) \\(-\frac{1}{2}u\\) \\(2 = \square\\)

Explanation:

Step1: Simplify left side

$\frac{1}{2}u - \frac{1}{2}u + 2 = 2$ (since like terms cancel)

Step2: Simplify right side

$u - \frac{1}{2}u + 6 = \frac{1}{2}u + 6$ (combine u terms)

Answer:

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