# Solve for a 5=|3a-13|

Rewrite the equation as .

Remove the absolute value term. This creates a on the right side of the equation because .

The complete solution is the result of both the positive and negative portions of the solution.

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First, use the positive value of the to find the first solution.

Move all terms not containing to the right side of the equation.

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Add to both sides of the equation.

Add and .

Divide each term in by and simplify.

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Divide each term in by .

Simplify the left side.

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Cancel the common factor of .

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Cancel the common factor.

Divide by .

Simplify the right side.

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Divide by .

Next, use the negative value of the to find the second solution.

Move all terms not containing to the right side of the equation.

Click for detailed explanation...

Add to both sides of the equation.

Add and .

Divide each term in by and simplify.

Click for detailed explanation...

Divide each term in by .

Simplify the left side.

Click for detailed explanation...

Cancel the common factor of .

Click for detailed explanation...

Cancel the common factor.

Divide by .

The complete solution is the result of both the positive and negative portions of the solution.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Mixed Number Form:

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