How do you solve #76p - 31p + 8= 98?#

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Answer 1 · 2018-01-08T12:47:28

See a solution process below:

First, combine the like terms on the left side of the equation:

#(76 - 31)p + 8 = 98#

#45p + 8 = 98#

Next, subtract #color(red)(8)# from each side of the equation to isolate the #p# term while keeping the equation balanced:

#45p + 8 - color(red)(8) = 98 - color(red)(8)#

#45p + 0 = 90#

#45p = 90#

Now, divide each side of the equation by #color(red)(45)# to solve for #p# while keeping the equation balanced:

#(45p)/color(red)(45) = 90/color(red)(45)#

#(color(red)(cancel(color(black)(45)))p)/cancel(color(red)(45)) = 2#

#p = 2#