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After scraping off the bulk of the adhesive, use several clean, damp cloths (preferably microfiber for better residue pick-up) to wipe away any leftover adhesive traces and the solvent residue. To ensure all chemical residue is removed and the surface is clean, follow up with a wipe-down using a mild soap and water solution. Finally, wipe the area with a cloth dampened with clean water only. Ensure the wall surface is completely dry before proceeding with any painting or re-wallpapering, as moisture or residual chemicals can affect adhesion. For hard-to-remove spots, a small reapplication of the remover and gentle scrubbing with a soft brush might be necessary.