Question

-5(n-1)=7(n+3)
Solve for the missing variable please help!

Answer 1

Explanation:

To solve this you have to use the distributive property.

So first you would distribute the -5 to n and -1.

So the new equation will be -5n + 1 = 7 (n + 3)

Next, distribute the 7 to n and 3.

The new equation will be -5n + 1 = 7n + 21

Next you simplify by adding 5n to both sides which will give you 1 = 12n + 21

Then you subtract 21 from both sides and get -20 = 12n

So then you divide both sides by 12 to get n by itself and you are left with -5/3 = n

Answer 2

n = -
`(4)/(3)`

Explanation:

Given

- 5(n - 1) = 7(n + 3) ← distribute parenthesis on both sides

- 5n + 5 = 7n + 21 ( subtract 7n from both sides )

- 12n + 5 = 21 ( subtract 5 from both sides )

- 12n = 16 ( divide both sides by - 12 )

n =
`(16)/(-12)` = -
`(4)/(3)`