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Can you help me with this math problem?

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2 Answers

-2(1-2b)> -8b-4(-2-3b)
-2+4b> -8b+8+12b
-2+4b> 4b+8
-2>8 which is a false statement
therefore no solution
1) distribute the factors into parentheses
-2(1-2b)≥8b-4(-2-3b) ⇔-1+4b≥8b+8+12b  ⇔ 4b-1≥20b+8
Now collect factors with b in one side, numbers in another.
b≤-9/16 (Remember: inequality changes sign from > to < when multiplied or divided by a negative number!)
Answer: b≤-9/16 or b≤-0.5625


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