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Simplifying Expressions using the Distributive Property
The distributive property is a fundamental concept in algebra that allows us to simplify expressions involving multiplication and addition. It states that multiplying a sum by a number is the same as multiplying each term of the sum by that number.
In simpler terms, a(b + c) = ab + ac.
Let's apply this to the expression (6m - 7) ⋅ 4.
Breaking down the expression
- Identify the terms: In this case, we have two terms: 6m and -7.
- Distribute the factor: We multiply 4 by each term inside the parentheses:
- 4 * 6m = 24m
- 4 * -7 = -28
Final result
Combining these results, we get: (6m - 7) ⋅ 4 = 24m - 28.
Therefore, the simplified expression using the distributive property is 24m - 28.
Key takeaways
- The distributive property allows us to simplify complex expressions.
- It involves multiplying each term inside the parentheses by the factor outside.
- Remember to pay attention to the signs of the terms.
By mastering the distributive property, you can confidently simplify expressions and solve various algebraic equations.