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0.8+5\times 0.3+6\times 0.1+7\times 0.1+8\times 0.3
Multiply 4 and 0.2 to get 0.8.
0.8+1.5+6\times 0.1+7\times 0.1+8\times 0.3
Multiply 5 and 0.3 to get 1.5.
2.3+6\times 0.1+7\times 0.1+8\times 0.3
Add 0.8 and 1.5 to get 2.3.
2.3+0.6+7\times 0.1+8\times 0.3
Multiply 6 and 0.1 to get 0.6.
2.9+7\times 0.1+8\times 0.3
Add 2.3 and 0.6 to get 2.9.
2.9+0.7+8\times 0.3
Multiply 7 and 0.1 to get 0.7.
3.6+8\times 0.3
Add 2.9 and 0.7 to get 3.6.
3.6+2.4
Multiply 8 and 0.3 to get 2.4.
6
Add 3.6 and 2.4 to get 6.