Question

How do you solve `0.2n+3=8.6`?

Answer 1

`n=28`

Explanation:

`0.2n+3=8.6`
subtract 3
`0.2n=8.6-3`
simplify `8.6-3`
`0.2n=5.6`
divide by 0.2
`n=28`

Answer 2

Or if decimals give you a problem get rid of them.

`n=28`

Explanation:

Given: `0.2n+3=8.6`

Multiply everything on both sides of the equals by 10

`2n+30=86`

Subtract 30 from both sides

`2n=56`

Divide both sides by 2

`n=28`
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`color(blue)("Check")`

`color(green)(2color(red)(n)+3=8.6 color(white)("d") ->color(white)("d")(0.2color(red)(xx28)) + 3->?->8.6`

But `0.2xx28` is the same as `2xx2.8=5.6`

`color(green)(color(white)("ddddddddddd")->color(white)("d")5.6+3=8.6)color(white)("d")` as required