Resolver para \( u \). \[ 5(u-6)-9=-7(-4 u+6)-5 u \] Simplificar la respuesta al máximo. \begin{tabular}{l}\( u=\square \) \\ \hline\end{tabular}

Solve the equation \( 5(u-6)-9=-7(-4 u+6)-5 u \). Solve the equation by following steps: - step0: Solve for \(u\): \(5\left(u-6\right)-9=-7\left(-4u+6\right)-5u\) - step1: Move the expression to the left side: \(5\left(u-6\right)-9-\left(-7\left(-4u+6\right)-5u\right)=0\) - step2: Remove the parentheses: \(5\left(u-6\right)-9+7\left(-4u+6\right)+5u=0\) - step3: Calculate: \(-18u+3=0\) - step4: Move the constant to the right side: \(-18u=0-3\) - step5: Remove 0: \(-18u=-3\) - step6: Change the signs: \(18u=3\) - step7: Divide both sides: \(\frac{18u}{18}=\frac{3}{18}\) - step8: Divide the numbers: \(u=\frac{1}{6}\) La solución para \( u \) es \( u = \frac{1}{6} \) o \( u = 0.1\dot{6} \).