to find the current acroos the branch by kvl or kcl
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Mesh 1:-2I1+2(I1+I2)=6v
⟹4I1−2I2=6v
⟹2I1−I2=3→(1)
Mesh 2:-4I2+2(I1+I2)=2v
⟹6I2−2I1=2→(2)
Equating (2) and (1)
I2=1A
I1=2A
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