∵
,
2a+b+c+d+e+f=20 ① a+2b+c+d+e+f=40 ② a+b+2c+d+e+f=80 ③ a+b+c+2d+e+f=160 ④ a+b+c+d+2e+f=320 ⑤ a+b+c+d+e+2f=640 ⑥
∴①+②+③+④+⑤+⑥得:7(a+b+c+d+e+f)=1260,
解得:a+b+c+d+e+f=180⑦,
∴①-⑦得:a=-160,
②-⑦得:b=-140,
③-⑦得:c=-100,
④-⑦得:d=-20,
⑤-⑦得:e=140,
⑥-⑦得:f=460.
∴f-e+d-c+b-a=460-140+(-20)-(-100)+(-140)-(-160)=420.
故答案为:420.