How do you solve #-6( n - 9) = - 54#?

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Answer 1 · 2017-05-16T22:47:48

See a solution process below:

First, divide each side of the equation by #color(red)(-6)# to eliminate the need for parenthesis while keeping the equation balanced:

#(-6(n - 9))/color(red)(-6) = (-54)/color(red)(-6)#

#(color(red)(cancel(color(black)(-6)))(n - 9))/cancel(color(red)(-6)) = 9#

#n - 9 = 9#

Now, add #color(red)(9)# to each side of the equation to solve for #n# while keeping the equation balanced:

#n - 9 + color(red)(9) = 9 + color(red)(9)#

#n - 0 = 18#

#n = 18#