solve the absolute value

|4n+1|+10=4

[4n +1} +10 = 4.

[4n + 1] = 4 - 10,
[4n + 1] = -6.
The Eq says that the absolute value of
4n + 1 = -6, but the absolute value of a number is always positive.

Conclusion: there is no solution.

To solve the absolute value equation |4n+1|+10=4, we need to isolate the absolute value first.

Step 1: Subtract 10 from both sides of the equation:
|4n+1| = 4 - 10
|4n+1| = -6

Step 2: Since the absolute value of any real number is always non-negative, an absolute value cannot equal a negative number. Therefore, there are no solutions to this equation.

To solve the absolute value equation |4n+1| + 10 = 4, we need to isolate the absolute value term and apply the definition of absolute value.

Step 1: Subtract 10 from both sides of the equation.
|4n+1| = 4 - 10
|4n+1| = -6

Step 2: Since absolute value cannot be negative, we conclude that there are no solutions to this equation.