Question

How do you solve `-1+ 8n + 4= 19`?

Answer 1

`n=2`

Explanation:

1. Sum similar terms: `color(red)(-1)+8n\color(red)(+4)=19 \to 8n+3=19`
2. Isolate the term involving the variable on the left: to do so, subtract `3` from both sides: `8n+3\color(red)(-3) = 19\color(red)(-3)`. The equation becomes `8n = 16`
3. Solve for the variable. To do so, divide both sides by `8`: `\frac{8n}{\color(red)(8)} = \frac{16}{\color(red)(8)} \to n = 2`

Answer 2

`x=2`

Explanation:

Using Distributive Property..

`-1 + 8n + 4 = 19`

Firstly, collecting like terms on the LHS only;

`-1 + 4 + 8n = 19`

`3 + 8n = 19`

Secondly, subtract `3` from both sides;

`3 + 8n - 3 = 19 - 3`

`3 - 3 + 8n = 19 - 3`

`0 + 8n = 16`

`8n = 16`

Thirdly, divide both sides by the coefficient of `n`

`(8n)/8 = 16/8`

`(cancel8n)/cancel8 = 16/8`

`x = 16/8`

`x=2`