How do you solve #\frac { 1} { 8} ( p + 24) = 9#?

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Answer 1 · 2018-03-10T17:42:21

See a solution process below:

First, multiply each side of the equation by #color(red)(8)# to eliminate the fraction while keeping the equation balanced:

#color(red)(8) xx 1/8(p + 24) = color(red)(8) xx 9#

#color(red)(8)/8(p + 24) = 72#

#1(p + 24) = 72#

#p + 24 = 72#

Now, subtract #color(red)(24)# from each side of the equation to solve for #p# while keeping the equation balanced:

#p + 24 - color(red)(24) = 72 - color(red)(24)#

#p + 0 = 48#

#p = 48#

Answer 2 · 2018-03-10T17:44:08

#p = 48#

#1/8(p+24)=9#

We need to get the statement in the parentheses by itself, so the first step is to divide both sides by #1/8#.

#9/1 -: 1/8 = 9/1 * 8/1 = 72/1 = 72#

#p+24=72#

Then we'll subtract 24 from both sides to get our answer.

#p = 48#