How do you solve #-70= - 2p + 4( - \frac { 19} { 6} p - \frac { 17} { 6} )#?

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Answer 1 · 2017-10-11T08:51:11

#p = 4#

#-70 = -2p + 4(-19/6p - 17/6)#

Solving the bracket first!

#-70 = -2p + cancel(4)^2(-19/cancel(6)_3p - 17/cancel(6)_3)#

#-70 = -2p + 2(-19/3p - 17/3)#

#-70 = -2p -38/3p - 34/3#

Multiply through with their LCM

#-70/1 = -2p/1 -38/3p - 34/3#

LCM = 3

#3(-70/1) = 3(-2p/1) -cancel3(38/cancel3p) - cancel3(34/cancel3)#

#3(-70) = 3(-2p) - 38p -34#

Simplifying..

#-210 = -6p - 38p - 34#

#-210 = -44p - 34#

Collect like terms..

#-210 + 34 = -44p#

#-176 = -44p#

Divide both sides by #color(red)(-44)#

#-176/color(red)(-44) = (-44p)/color(red)(-44)#

#cancel(-176)^4/cancel(-44)_1 = cancel(-44p)/cancel(-44)#

#4/1 = p#

#rArr p = 4#