Answer:
The number is -79.
Step-by-step explanation:
Let's set up equation for the given information.
Let the number as 'x'
Negative 1 times the sum of one and seven times a number x could be written as -1(1+7 x).
Now, 6 times the difference of negative seven and a number could be written as
6(-7-x)
Now,
-1(1+7 x) decreased by 6(-7-x) equals 36
So, we can set up equation as
-1(1+7 x)-6(-7-x)=36
Solve the equation for x
-1-7 x-42+6 x=36
Combine like terms
-x-43 =36
Add both sides 43
-x=79
Divide both sides by -1.
x=79
