1. Please provide the 7 questions or their details so I can correct them step by step for better understanding. 2. Without the actual problems or their solutions, I cannot proceed with corrections or explanations. 3. Once you share the questions or the existing solutions you want corrected, I will analyze each one and provide detailed steps. 4. I will explain every step with clear algebraic or conceptual reasoning using LaTeX format. 5. Let me know if you want me to organize answers by question or combine them in one explanation. 6. Share the material, then I will assist with thorough math tutoring to improve clarity and understanding. 7. Looking forward to your questions so I can begin this detailed correction process.