Simplify: [tex]$\frac{4}{-4}=\frac{-4 n}{-4}$[/tex]
Answer (2)
Simplify the left side of the equation: − 4 4 = − 1 .
Simplify the right side of the equation: − 4 − 4 n = n .
Set the simplified expressions equal to each other: − 1 = n .
Solve for n : n = − 1 , so the final answer is − 1 .
Explanation
Understanding the equation We are given the equation − 4 4 = − 4 − 4 n and asked to solve for n . This involves simplifying both sides of the equation and isolating n .
Simplifying the left side First, let's simplify the left side of the equation: − 4 4 = − 1
Simplifying the right side Next, simplify the right side of the equation: − 4 − 4 n = n
Finding the value of n Now we have the simplified equation: − 1 = n Thus, n = − 1 .
Examples
In real life, this type of problem can be used to understand basic algebraic equations, which are fundamental in many fields such as physics, engineering, and economics. For example, if you have a budget and need to determine how many items you can buy, you might use a similar equation to solve for the number of items. Understanding how to solve these equations helps in making informed decisions in various practical situations.
The equation simplifies to find that n = − 1 , as shown by simplifying both sides of the equation. The left side simplifies to -1, and the right side simplifies to n. Therefore, we conclude that n equals -1.
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