Enter the number that makes the following mathematical statement true. 7 ⋅ g − 35 = 7 (g − __)
To make the mathematical statement true, we need to ensure that both sides of the equation are equal.
In this case, we have:
7 ⋅ g - 35 = 7 (g - __)
We can solve this by using the distributive property to expand the right side of the equation:
7 ⋅ g - 35 = 7g - 7 × __
Now, we can see that if we multiply 7 by a number, the result will be 7 times that number.
So, to balance the equation, we need to find a number that, when multiplied by 7, will give us -7 × __.
To find this number, we can divide both sides of the equation by 7:
(7 ⋅ g - 35) / 7 = (7g - 7 × __) / 7
Simplifying, we get:
g - 5 = g - __
So, the missing number is 5.