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Sove for r ( absolute value) [-8r-6]=9

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Explanation:

To solve for r in the absolute value equation:

|-8r - 6| = 9

We can split the equation into two cases, one where the expression inside the absolute value is positive and one where it is negative:

Case 1: -8r - 6 = 9

In this case, we remove the absolute value and solve for r:

-8r - 6 = 9

Add 6 to both sides:

-8r = 15

Divide both sides by -8:

r = -15/8

Case 2: -(-8r - 6) = 9

In this case, we change the sign inside the absolute value and solve for r:

8r + 6 = 9

Subtract 6 from both sides:

8r = 3

Divide both sides by 8:

r = 3/8

Therefore, the solutions for r in the absolute value equation are r = -15/8 and r = 3/8.

User Loscuropresagio
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