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:

$n = +-8$

How do you solve 7absn=567absn=56?