Question

What is the solution for this problem?

Answer 1

`n = 5`

Explanation:

We can solve for the variable
`n` in the given equation:

`3n - 4 = 11`

using algebraic manipulation.

First, we can isolate the term
`3n` on the left side by adding 4 to both sides.

`3n-4=11\\ \underline{\text{ }\ \ \, +4} \ \ \ \ \underline{+ \ 4}`

`3n = 11 + 4`

`3n = 15`

Next, we can solve for one multiple of
`n` by dividing by
`n`'s coefficient (the number
`n` is multiplied by), which is
`3`.

`\underline{3n} = \underline{15}\\ \text{ } 3 \ \ \ \ \ \: 3`

`\boxed{n = 5}`

Finally, we can check our answer by plugging this
`n`-value back into the original equation and validating that it remains true.

`3n - 4 = 11`

`3(5) - 4 \stackrel{?}{=} 11`

`15 - 4 \stackrel{?}{=} 11`

`11 \stackrel{\checkmark}{=} 11`