How do you solve #-36= - 8u + 6( u - 8)#?

2 Answers
Jim G.
Jun 13, 2018

#u=-6#

Explanation:

#"distribute and simplify"#

#-36=-8u+6u-48#

#"add 48 to both sides"#

#-36+48=-2u#

#12=-2u#

#"divide both sides by "-2#

#12/(-2)=urArru=-6#

#color(blue)"As a check"#

Substitute this value into the right side of the equation and if equal to the left then it is the solution.

#(-8xx-6)+(6xx-14)=48-84=-36#

#u=-6" is the solution"#

Killza · Stefan V.
Jun 13, 2018

#u = -6#

Explanation:

First, expand the brackets through FOIL

#-36 = -8u +6u - 48#

Then add like #u# terms

#-36 = -2u - 48#

Isolate #u# by taking the #-48# to the left side, changing its sign to positive #48#.

#-36 + 48 = -2u#

Add #-36# to #48# to get.

#12 = -2u#

You can’t have a negative answer, so you need to divide by #-2# on both sides. Diving two negatives gives a positive, hence

#12/-2 = (-2u)/-2#

#-6 = u#

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