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Two Kids pull opposite directions on a toy with a mass of 18kg. One exerts a force of 695N and the other 135N. Both pull horizontally and friction is void. Calculate the new force in N?

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695 - 135 = 560 N

that is the answer you asked for
If you also want the acceleration it is
a = F/m = 560/18 = 31.1 m/s^2

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