What value of n makes the equation true? -1/5n+7=2

n = 25.

Step-by-step explanation:

-1/5n + 7 = 2

-1/5n = -5

1/5n = 5

5(1/5)n = 5 * 5

n = 25

Check your work!

(-1/5) * 25 + 7 = 2

-25/5 + 7 = 2

-5 + 7 = 2

2 = 2

Hope this helps!

n=25

Step-by-step 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