How do you solve #8r + 6r + 15= - 69#?

2 Answers
Jan 15, 2018

See a solution process below:

Explanation:

First, combine like terms on the left side of the equation:

#(8 + 6)r + 15 = -69#

#14r + 15 = -69#

Next, subtract #color(red)(15)# from each side of the equation to isolate the #r# term while keeping the equation balanced:

#14r + 15 - color(red)(15) = -69 - color(red)(15)#

#14r + 0 = -84#

#14r = -84#

Now, divide each side of the equation by #color(red)(14)# to solve for #r# while keeping the equation balanced:

#(14r)/color(red)(14) = -84/color(red)(14)#

#(color(red)(cancel(color(black)(14)))r)/cancel(color(red)(14)) = -6#

#r = -6#

Jan 15, 2018

#r = -6#

Explanation:

#8r + 6r + 15 = -69#

First, let's combine "like-terms":
#14r + 15 = -69#

Then we subtract #15# from both sides of the equation to make #14r# by itself:
#14r = -84#

Finally, we divide both sides by #14# in order to get the final answer:
#r = -6#

If you need more help with these problems, feel free to watch this video:

Hope this helps!