Solve for \( u \) \[ -8 u-2=-3(u+4) \]

First, let's simplify the equation step by step. Starting with: \[ -8u - 2 = -3(u + 4) \] Distributing \(-3\) on the right side, we have: \[ -8u - 2 = -3u - 12 \] Now let's move all terms involving \(u\) to one side and constants to the other. We'll add \(3u\) to both sides: \[ -8u + 3u - 2 = -12 \] This simplifies to: \[ -5u - 2 = -12 \] Next, add \(2\) to both sides: \[ -5u = -12 + 2 \] which simplifies to: \[ -5u = -10 \] Now, divide both sides by \(-5\): \[ u = \frac{-10}{-5} \] This gives us: \[ u = 2 \] Thus, the solution for \(u\) is \(2\).