Answer:
The number is -4.
Explanation:
Let the number be n.
Given:
Max adds 7 to a number.
hence it is given as n+7
Multiply's the sum by -4 the result is 3 times the same number.
Hence the equation can be written as;
![-4(n+7)=3n](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xt3oyop6etm74od1oe8s3jzpbk2m1bg413.png)
Now Solving the above equation to find value of n we get;
![-4(n+7)=3n\\-4n-28=3n\\-4n-3n=28\\-7n=28\\n=(28)/(7)=-4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3gd9tcx9girboe84i7vmkm5awxz63e000c.png)
The value of n is -4.
Now when we add 7 to number -4 we get answer as 3.
And when the sum is multiplied by -4 we get answer -12.
Also 3 times of number is equal to 3 multiplied by -4 we get answer as -12.
Hence when the sum is multiplied by -4 it is equal to 3 times of same number.
Hence from above we can say that the number is -4.