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Simplifying the Expression (6m - 7) ⋅ 4
In mathematics, simplifying expressions means rewriting them in a way that is easier to understand and work with. Let's break down how to simplify the expression (6m - 7) ⋅ 4.
Understanding the Expression
- (6m - 7): This is a binomial, meaning it has two terms: 6m and -7.
- ⋅ 4: This represents multiplication by 4.
Applying the Distributive Property
The distributive property states that multiplying a sum by a number is the same as multiplying each term in the sum by that number. In our case, we can distribute the 4:
(6m - 7) ⋅ 4 = (6m ⋅ 4) + (-7 ⋅ 4)
Simplifying the Multiplication
- 6m ⋅ 4 = 24m
- -7 ⋅ 4 = -28
Final Simplified Expression
Putting it all together, the simplified expression is:
(6m - 7) ⋅ 4 = 24m - 28
Therefore, the simplified form of the expression (6m - 7) ⋅ 4 is 24m - 28.