# Solve for a |3/4a-7|=5

Remove the absolute value term. This creates a on the right side of the equation because .
Set up the positive portion of the solution.
Solve the first equation for .
Combine and .
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Multiply both sides of the equation by .
Simplify both sides of the equation.
Simplify .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify .
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Set up the negative portion of the solution.
Solve the second equation for .
Combine and .
Multiply by .
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Multiply both sides of the equation by .
Simplify both sides of the equation.
Simplify .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply .
Combine and .
Multiply by .
The solution to the equation includes both the positive and negative portions of the solution.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form:
Solve for a |3/4a-7|=5

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