Resolver para \( w \) \[ 3(w+3)=-3(4 w-7)+7 w \] Simplificar la respuesta al máximo. \( w=\square \)

Solve the equation \( 3(w+3)=-3(4w-7)+7w \). Solve the equation by following steps: - step0: Solve for \(w\): \(3\left(w+3\right)=-3\left(4w-7\right)+7w\) - step1: Calculate: \(3w+9=-3\left(4w-7\right)+7w\) - step2: Calculate: \(3w+9=-5w+21\) - step3: Move the expression to the left side: \(3w+9-\left(-5w+21\right)=0\) - step4: Calculate: \(8w-12=0\) - step5: Move the constant to the right side: \(8w=0+12\) - step6: Remove 0: \(8w=12\) - step7: Divide both sides: \(\frac{8w}{8}=\frac{12}{8}\) - step8: Divide the numbers: \(w=\frac{3}{2}\) La solución para \( w \) en la ecuación dada es \( w = \frac{3}{2} \) o \( w = 1.5 \).