How do you solve #-100= 4( 7+ 4n )#?

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Answer 1 · 2017-06-18T20:08:22

See a solution process below:

First, divide each side of the equation by #color(red)(4)# to eliminate the parenthesis while keeping the equation balanced:

#-100/color(red)(4) = (4(7 + 4n))/color(red)(4)#

#-25 = (color(red)(cancel(color(black)(4)))(7 + 4n))/cancel(color(red)(4))#

#-25 = 7 + 4n#

Next, subtract #color(red)(7)# from each side of the equation to isolate the #n# term while keeping the equation balanced:

#-color(red)(7) - 25 = -color(red)(7) + 7 + 4n#

#-32 = 0 + 4n#

#-32 = 4n#

Now, divide each side of the equation by #color(red)(4)# to solve for #n# while keeping he equation balanced:

#-32/color(red)(4) = (4n)/color(red)(4)#

#-8 = (color(red)(cancel(color(black)(4)))n)/cancel(color(red)(4))#

#-8 = n#

#n = -8#