Algebra-2

To solve the equation -4|-3x - 1| = -16, we will first isolate the absolute value term.

Step 1: Isolate the Absolute Value

Divide both sides by -4.

|-3x - 1| =

|-3x - 1| = 4

 

Step 2: Set Up Cases for Absolute Value

Now we can set up two cases based on the definition of absolute value:

1.Case 1:

-3x - 1 = 4

 

2.Case 2:

-3x - 1 = -4

 

Step 3: Solve Each Case

For Case 1:

-3x - 1 = 4

Add 1 to both sides:

-3x = 4 + 1

-3x = 5

Now, divide by -3:

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