Sweep the deck with a broom to remove the dirt and debris. Fill a bucket with warm water and 1 c. laundry detergent. Take it out to the deck.
Dip a stiff bristle scrub brush into the soapy water and scrub the entire deck, starting at one end and working across to the other. Rinse the deck with water from a garden hose and let it air-dry.
Put on protective goggles and rubber gloves. Open the can of oxalic acid deck brightener mix.
Dip the soft bristle nylon scrub brush into the oxalic acid and gently brush it onto one plank, starting in the corner farthest from the door or stairs. Continue gently scrubbing one plank at a time.
Rinse the planks with water from the hose as they become dry. Let the deck air-dry for 48 hours.