Solve for \( u \). \[ 2(2 u+9)=50 \] Simplify your answer as much as possible. \( u=\square \)

First, let's distribute the \( 2 \) on the left side of the equation: \[ 2(2u + 9) = 4u + 18 \] Now, we set the equation equal to \( 50 \): \[ 4u + 18 = 50 \] Next, we'll subtract \( 18 \) from both sides to isolate the term with \( u \): \[ 4u = 50 - 18 \] \[ 4u = 32 \] Now, divide both sides by \( 4 \) to solve for \( u \): \[ u = \frac{32}{4} \] \[ u = 8 \] Thus, the solution is: \( u=8 \)