How do you solve #-13.2- 8.8p = - 6.2p + 7.08#?

1 Answer
smendyka
Nov 3, 2017

See a solution process below:

Explanation:

First, add #color(red)(8.8p)# and subtract #color(blue)(7.08)# from each side of the equation to isolate the #p# term while keeping the equation balanced:

#-13.2 - 8.8p + color(red)(8.8p) - color(blue)(7.08) = -6.2p + 7.08 + color(red)(8.8p) - color(blue)(7.08)#

#-13.2 - color(blue)(7.08) - 8.8p + color(red)(8.8p) = -6.2p + color(red)(8.8p) + 7.08 - color(blue)(7.08)#

#-20.28 - 0 = (-6.2 + color(red)(8.8))p + 0#

#-20.28 = 2.6p#

Now, divide each side of the equation by #color(red)(2.6)# to solve for #p# while keeping the equation balanced:

#-20.28/color(red)(2.6) = (2.6p)/color(red)(2.6)#

#-7.8 = (color(red)(cancel(color(black)(2.6)))p)/cancel(color(red)(2.6))#

#-7.8 = p#

#p = -7.8#

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