|n|+3=7
Absolute value: the distance away from zero
The absolute value of "n" + 3 = 7
Solve
Subtract 3 from both sides of the equal sign
The absolute value of "n" = 4 n
So far so good. You have
|n| = 4
so, n=4 or n = -4
To solve the equation |n| + 3 = 7, you need to isolate the variable "n" on one side of the equation. Here's how:
1. Begin by subtracting 3 from both sides of the equation: |n| + 3 - 3 = 7 - 3.
This simplifies to |n| = 4.
2. Since absolute value represents the distance from zero, and the absolute value of any number is always non-negative, we can rewrite the equation without the absolute value symbols:
n = 4 or n = -4.
Therefore, the solutions for the equation |n| + 3 = 7 are n = 4 and n = -4.