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Simplifying the Expression: (7-4n)•6
This article will focus on simplifying the expression (7-4n)•6. Let's break down the steps involved:
Understanding the Expression
The expression (7-4n)•6 involves a few key components:
- Parentheses: Indicate that the operation inside them must be performed first.
- Multiplication: The symbol "•" represents multiplication.
- Variables: The letter "n" represents an unknown value.
Applying the Distributive Property
To simplify the expression, we'll apply the distributive property of multiplication. This property states that multiplying a sum by a number is the same as multiplying each term in the sum by the number.
In our case, we multiply both terms within the parentheses by 6:
(7-4n)•6 = (7•6) + (-4n•6)
Simplifying Further
Now we can perform the multiplication operations:
(7•6) + (-4n•6) = 42 - 24n
Final Result
Therefore, the simplified form of the expression (7-4n)•6 is 42 - 24n.
Conclusion
This process demonstrates how to simplify algebraic expressions by using the distributive property and basic multiplication operations. Remember that the distributive property is a powerful tool for simplifying expressions, especially those involving parentheses.