How do you solve #7absn=56#?

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Answer 1 · 2017-01-07T19:44:40

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First, we need to isolate the absolute value term by dividing each side of the equation by #color(red)(7)# which also keeps the equation balanced:

#(7abs(n))/color(red)(7) = 56/color(red)(7)#

#(color(red)(cancel(color(black)(7)))abs(n))/cancel(color(red)(7)) = 8#

#abs(n) = 8#

By definition:

#abs(a) = +-a#

Therefore:

#n = +-8#