How do you solve #-145= - 5( 5+ 5v ) + v#?

2 Answers
Jul 21, 2017

#-145 = -5(5 + 5v) + v#

#-145 = -5(5) - 5(5v) + v#

#-145 = -25 - 25v + v#

#-145 = -25 - 24v#

#-145 + 25 = -24v#

#-120 = -24v#

#v = (-120)/-24#

#v = 5#

Jul 21, 2017

#v=5#

Explanation:

Begin by distributing #-5# to #5# and #5v#:

#-145= color(red)(-5)*5+color(red)(-5)*5v+v#

#-145=-25-25v+v#

Combine like terms:

#-145=-25color(red)(-25v+v)#

#-145=-25-24v#

Add #25# to both sides:

#-145+25=cancel(-25+25)-24v#

#-120=-24v#

Divide #-24# to both sides:

#(-120)/-24=cancel(-24)/cancel(-24)v#

#5=v#