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Chapter 2: Problem 26

simplify. \(4=\)4

Short Answer

Expert verified
The equation is already simplified.

Step by step solution

01

- Identify the Equation

Notice that the equation given is very simple: \(4 = 4\).
02

- Analyze the Equation

Both sides of the equation are equal and are the same constant value, 4.
03

- Conclusion

Since both sides of the equation are equal without modifications, the equation is already simplified.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Basic Algebra
Algebra is the branch of mathematics dealing with symbols and the rules for manipulating those symbols. In basic algebra, we often work with simple equations and variables. Here, equations are like mathematical sentences. They show relationships between different values. For example, the equation given in the problem, 4 = 4, shows the relationship between equal values.
Understanding algebra helps us solve for unknowns and simplify expressions. Simplifying an equation means making it as simple as possible. When we say 'simplify', we might just recognize that both sides are already equal.
Constant Values
In mathematics, constants are values that do not change. In the given equation, both sides are constants. Specifically, they are both the number 4.
Sometimes in equations, you might see variables (like x or y), but in this example, we only have constants.
The primary goal when working with constant values in equations is to verify whether both sides are equal. If they are, such as in the equation 4 = 4, we determine that the equation is already in its simplest form.
Equation Analysis
Analyzing an equation involves looking closely at its components and understanding their relationships. In the provided problem, the equation is 4 = 4. Let's break down the analysis:
  • First, identify that both sides are the same number (4).
  • Since both sides match, there is no need to alter or simplify further.

The analysis process is crucial in more complex equations where you might need to move variables or constants from one side to another. However, in this simple case, we conclude that the equation is already balanced and simplified.

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