How do you simplify #-24- \frac{1}{8} p = \frac{3}{8}p#?

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Answer 1 · 2018-03-07T08:57:35

See a solution process below:

First, add #color(red)(1/8p)# to each side of the equation to isolate the #p# term while keeping the equation balanced:

#-24 - 1/8p + color(red)(1/8p) = 3/8p + color(red)(1/8p)#

#-24 - 0 = (3/8 + color(red)(1/8))p#

#-24 = (3 + color(red)(1))/8p#

#-24 = 4/8p#

#-24 = 1/2p#

Now, multiply each side of the equation by #color(red)(2)# to solve for #p# while keeping the equation balanced:

#color(red)(2) xx -24 = color(red)(2) xx 1/2p#

#-48 = color(red)(2)/2p#

#-48 = 1p#

#-48 = p#

#p = -48#