# Solve for n |5n+1|+14=6

Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
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 .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Set up the negative portion of the solution.
Solve the second equation for .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
The solution to the equation includes both the positive and negative portions of the solution.
Exclude the solutions that do not make true.
No solution
Solve for n |5n+1|+14=6

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