In changing the state of thermodynamics from $A$ to $B$ state, the heat required is $Q$ and the work done by the system is $W.$ The change in its internal energy is
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(b) $\Delta Q = \Delta U + \Delta W$
==> $\Delta U = \Delta Q - \Delta W = Q - W$ (using proper sign)
==> $\Delta U = \Delta Q - \Delta W = Q - W$ (using proper sign)
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