How do you solve #-4p - 9= - 17- 3p#?

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Answer 1 · 2017-07-03T02:52:41

See a solution process below:

Add #color(red)(4p)# and #color(blue)(17)# to each side of the equation to solve for #p# while keeping the equation balanced:

#-4p - 9 + color(red)(4p) + color(blue)(17) = -17 - 3p + color(red)(4p) + color(blue)(17)#

#-4p + color(red)(4p) - 9 + color(blue)(17) = -17 + color(blue)(17) - 3p + color(red)(4p)#

#0 + 8 = 0 + (-3 + color(red)(4))p#

#8 = 1p#

#8 = p#

#p = 8#

Answer 2 · 2017-07-03T03:37:57

#p=8#

#-4p-9=-17-3p#

#-4p+3p=-17+9#

#-p=-8#

#p=8#