Question

Question #1d854

Answer 1

`n = 10`

Explanation:

`2(n-7)+ 3 =9`
Solve for `n`

1) Clear the parentheses by distributing the `2`
2n - 14 + 3 = 9#

2) Combine like terms
`2n - 11 = 9`

3) Add 11 to both sides to isolate the `2n` term
`2n = 20`

4) Divide both sides by `2` to isolate `n`
`n = 10` `larr` answer

Answer:
`n = 10`

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Check
Sub in `10` in the place of `n` in the original equaton to see if it's still true

`2(n-7)+ 3 =9`

`2(10 - 7) + 3` should equal `9`

`2( 3 ) + 3` should equal `9`

`6 + 3` should equal `9`

`9` does equal `8`

`Check!`