Answer:
n=25
Explanation:
To find the value of n that makes the equation true, we must solve for n.
To solve for n, we must get n by itself on one side of the equation.
-1/5n+7=2
7 is being added to -1/5n. The inverse of addition is subtraction. Subtract 7 from both sides.
-1/5n+7-7= 2-7
-1/5n= 2-7
-1/5n= -5
n is being multiplied by -1/5. The inverse of multiplication is division. Divide both sides by -1/5, or multiply both sides by the reciprocal of the fraction.
-1/5n /-1/5 = -5/ -1/5
To find the reciprocal, flip the top number/numerator and bottom number/denominator.
-1/5--flip--> -5/1
-1/5n * -5/1= -5* -5/1
n= -5*-5
n= 25
Let's check our solution. Plug 25 in for n.
-1/5n+7=2
-1/5 (25) +7=2
-5 +7 =2
2=2