Question

How do you solve `3/4n + 16 = 2-1/8n`?

Answer 1

`color(green)(n=-16)`

Explanation:

Given:
`color(white)("XXX")color(red)(3/4n+16)=color(blue)(2-1/8n)`

Get all terms with `n` as a factor on the left side
`color(white)("XXX")color(red)(3/4n+16)color(blue) (+1/8n)=color(blue)(2)`

Get all the terms that do not have `n` as a factor on the right side
`color(white)("XXX")color(red)(3/4n)color(blue)(+1/8n)=color(blue)(2)color(red)(-16)`

Simplify both sides
`color(white)("XXX")7/8n=-14`

Multiply both sides by `8/7` to leave a unit `n` on the left side
`color(white)("XXX")n=-16`

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As always, you should verify this answer by substituting the result into the original equation.