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

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Answer 1 · 2018-04-14T18:05:56

#13p#

#9p - 2n + 4p + 2n#

To simplify this, we combine like terms.

Let's color code the like terms:
#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!