How do you solve #-153= - 9( n + 7)#?

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Answer 1 · 2017-09-06T13:03:52

See a solution process below:

First, divide each side of the equation by #color(red)(-9)# to eliminate the need for parenthesis while keeping the equation balanced:

#(-153)/color(red)(-9) = (-9(n + 7))/color(red)(-9)#

#17 = (color(red)(cancel(color(black)(-9)))(n + 7))/cancel(color(red)(-9))#

#17 = n + 7#

Now, subtract #color(red)(7)# from each side of the equation to solve for #n# while keeping the equation balanced:

#17 - color(red)(7) = n + 7 - color(red)(7)#

#10 = n + 0#

#10 = n#

#n = 10#