A person is walking two dogs fastened to separate leashes that meet in a connective hub, leading to a single leash that she is holding. Dog 1 applies a force N 60° W with a magnitude of 8, and Dog 2 applies a force of with a magnitude of 6. Find the magnitude and direction of the force w that the walker applies to the leash in order to counterbalance the total force exerted by the dogs.

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