(2n-4)-(4n-3)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (2n-4) - (4n-3)

This article will guide you through simplifying the expression (2n - 4) - (4n - 3).

Understanding the Problem

The expression involves combining terms with variables and constants. To simplify it, we need to apply the rules of algebra, particularly those related to:

• Distribution: When a minus sign precedes a parenthesis, we distribute it to each term inside the parenthesis.
• Combining Like Terms: Terms with the same variable and exponent can be combined.

Step-by-Step Solution

1. Distribute the minus sign: (2n - 4) - (4n - 3) = 2n - 4 - 4n + 3

2. Combine like terms: (2n - 4n) + (-4 + 3) = -2n - 1

Final Result

The simplified expression of (2n-4)-(4n-3) is -2n - 1.

Conclusion

By understanding the basic principles of algebra, we can effectively simplify expressions like (2n-4)-(4n-3). This process involves distributing the negative sign and combining like terms, leading us to a concise and simplified form.