Solve for k -6|k+9|=-30

Math
-6|k+9|=-30
Divide each term by -6 and simplify.
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Divide each term in -6|k+9|=-30 by -6.
-6|k+9|-6=-30-6
Cancel the common factor of -6.
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Cancel the common factor.
-6|k+9|-6=-30-6
Divide |k+9| by 1.
|k+9|=-30-6
|k+9|=-30-6
Divide -30 by -6.
|k+9|=5
|k+9|=5
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
k+9=±5
Set up the positive portion of the ± solution.
k+9=5
Move all terms not containing k to the right side of the equation.
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Subtract 9 from both sides of the equation.
k=5-9
Subtract 9 from 5.
k=-4
k=-4
Set up the negative portion of the ± solution.
k+9=-5
Move all terms not containing k to the right side of the equation.
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Subtract 9 from both sides of the equation.
k=-5-9
Subtract 9 from -5.
k=-14
k=-14
The solution to the equation includes both the positive and negative portions of the solution.
k=-4,-14
Solve for k -6|k+9|=-30

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