%E2%8B%854.jpeg "(6m−7)⋅4")
Simplifying the Expression (6m - 7) ⋅ 4
This expression involves the distributive property of multiplication. Let's break it down step-by-step to simplify it.
Understanding the Distributive Property
The distributive property states that multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products. Mathematically:
a ⋅ (b + c) = (a ⋅ b) + (a ⋅ c)
Applying the Distributive Property
In our expression, (6m - 7) ⋅ 4, we have:
- a = 4
- b = 6m
- c = -7
Applying the distributive property:
(6m - 7) ⋅ 4 = (4 ⋅ 6m) + (4 ⋅ -7)
Simplifying the Expression
Now, we can perform the multiplication:
(4 ⋅ 6m) + (4 ⋅ -7) = 24m - 28
Final Result
Therefore, the simplified form of the expression (6m - 7) ⋅ 4 is 24m - 28.