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Season the salmon fillets with lemon pepper, garlic powder, and salt.
In a small bowl, stir together the soy sauce, brown sugar, water, and vegetable oil until the sugar is dissolved. Place the seasoned salmon fillets in a large resealable plastic bag. Pour the soy sauce mixture into the bag, seal it, and turn to coat the salmon evenly. Refrigerate for at least 2 hours to marinate.
Remove the salmon from the marinade and discard the marinade. Place the salmon on the preheated grill. Cook the salmon for about 6 to 8 minutes per side, or until the fish flakes easily with a fork.
Serve immediately and enjoy your delicious grilled salmon!