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b+2c=160=>b=160-2c
3a+2(b+2c)=494
3a+2*160=494
3a+320=494
3a=494-320
3a=174
a=174/3
a=58
3*58+2(160-2c)=494
174+320-4c=494
494 - 4c=494
-4c=494-494
-4c=0=>c=0
b+2*0=160
b=160
a+ab+2ac=58+58*160+2*58*0=58+9280=9338