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Solve the following inequality for f. -6+3(5f-5)≤-10f-8-5 ​

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Final answer:

To solve the given inequality, distribute the terms, combine like terms, and isolate f on one side.

Step-by-step explanation:

To solve the inequality: -6+3(5f-5)≤-10f-8-5

First, distribute the 3 on the left side: -6 + 15f - 15 ≤ -10f - 13

Then, combine like terms: 15f - 21 ≤ -10f - 13

Add 10f to both sides: 25f - 21 ≤ -13

Add 21 to both sides: 25f ≤ 8

Finally, divide both sides by 25: f ≤ 8/25

Therefore, the solution for f is f ≤ 8/25.

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