Question

Apply the distributive property to create an equivalent expression.
(
6
m
−
7
)
⋅
4
=

Answer 1

Answer:

The solution is $(6m-7) \cdot 4=1.66.$

Step-by-step explanation:

Given: $(6m - 7) \cdot 4 =$

To Apply: Distributive property to create an equivalent expression.

Solution: Suppose, $(6m + -7) \times 4 = 0$

Now, reorder the terms for easy calculation:

$(-7 + 6m) \times 4 = 0$ or

   $4(-7 + 6m) = 0$

By using distributive property,

         $4(-7 + 6m) = 0$

$(-7 \times 4 + 6m \times 4) = 0$

        $(-28 + 24m) = 0$

Now, add $28$ as equivalent expression to both the side of the equation to find the value of $m.$

$-28 + 28 + 24m = 0 + 28$

$0 + 24m = 0 + 28$

$24m = 0 + 28$

$24m = 28$

   $m=\frac{28}{24}$

   $m = 1.166666667$ or $1.16$

Hence, the solution is $(6m - 7) \cdot 4 = 1.16.$