How do you solve #16-2n-5+8n=65#?

1 Answer
May 14, 2018

Answer:

#n = 9#

Explanation:

#16 - 2n - 5 + 8n = 65#

First, color-code the like terms on the left hand side:
#color(red)(16) quadcolor(green)(-quad2n) quadcolor(red)(-quad5) quadcolor(green)(+quad8n) = 65#

Combine the like terms:
#11 + 6n = 65#

Subtract #color(blue)11# from both sides:
#11 + 6n quadcolor(blue)(-quad11) = 65 quadcolor(blue)(-quad11)#

#6n = 54#

Now divide both sides by #color(blue)6#:
#(6n)/color(blue)6 = 54/color(blue)6#

Therefore,
#n = 9#

Hope this helps!