How do you solve #2/-3=(4v+4)/(2v+14)#?

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Answer 1 · 2018-03-10T04:29:54

#v=(-5)/2#

#2/(-3)=(4v+4)/(2v+14)#

Cross multiply

#(2)(2v + 14)=(4v+4)(-3)#

Distribute

#(2)(2v)+(2)(14)=(-3)(4v)+(-3)(4)#

#4v + 28 + 12v = -12v - 12+12v#

#16v + 28 = -12#

#16v = -12 - 28#

#16v = -40#

Divide both sides by #16#

#(16v)/16 = (-40)/16#

#v=(-5)/2#