Resolver para \( w \). \[ \frac{5}{4}=\frac{15}{w+7} \] Simplificar su respuesta tanto como sea posible. \( w=\prod \square \)

Solve the equation \( \frac{5}{4}=\frac{15}{w+7} \). Solve the equation by following steps: - step0: Solve for \(w\): \(\frac{5}{4}=\frac{15}{w+7}\) - step1: Find the domain: \(\frac{5}{4}=\frac{15}{w+7},w\neq -7\) - step2: Swap the sides: \(\frac{15}{w+7}=\frac{5}{4}\) - step3: Rewrite the expression: \(w+7=\frac{15\times 4}{5}\) - step4: Divide the terms: \(w+7=12\) - step5: Move the constant to the right side: \(w=12-7\) - step6: Subtract the numbers: \(w=5\) - step7: Check if the solution is in the defined range: \(w=5,w\neq -7\) - step8: Find the intersection: \(w=5\) La solución para \( w \) es \( w = 5 \).