How do you simplify $9 p - 2 n + 4 p + 2 n$ $9p-2n+4p+2n$ ?

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Answer 1 · 2018-04-14T18:05:56

$13 p$ $13p$

$9 p - 2 n + 4 p + 2 n$ $9p - 2n + 4p + 2n$

To simplify this, we combine like terms.

Let's color code the like terms:
$9 p - 2 n + 4 p + 2 n$ $9p - 2n + 4p + 2n$

$color(red)(9p) quadcolor(blue)(-quad2n) quadcolor(red)(+quad4p) quadcolor(blue)(+quad2n)$

$-2n$ and $+2n$ cancel out:
$color(red)(9p) cancel(quadcolor(blue)(-quad2n)) quadcolor(red)(+quad4p) cancel(quadcolor(blue)(+quad2n))$

So we are left with:
$color(red)(9p) quadcolor(red)(+quad4p)$

Which simplifies to:
$13p$

Hope this helps!

How do you simplify 9p-2n+4p+2n9p−2n+4p+2n9p-2n+4p+2n?