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

Mar 2, 2018

$n = 28$

#### Explanation:

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

Mar 2, 2018

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

$n = 28$

#### Explanation:

Given: $0.2 n + 3 = 8.6$

Multiply everything on both sides of the equals by 10

$2 n + 30 = 86$

Subtract 30 from both sides

$2 n = 56$

Divide both sides by 2

$n = 28$
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$\textcolor{b l u e}{\text{Check}}$

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

But $0.2 \times 28$ is the same as $2 \times 2.8 = 5.6$

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