How do you solve #-4.2n-6.5=-14.06#?

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Answer 1 · 2018-03-05T04:33:02

#n=1.8#

Solve:

#-4.2n-6.5=-14.06#

Add #6.5# to both sides.

#-4.2n-6.5+6.5=-14.06+6.5#

Simplify.

#-4.2n-0=-7.56#

#-4.2n=-7.56#

Divide both sides by #-4.2#.

#(color(red)cancel(color(black)(-4.2))^1n)/(color(red)cancel(color(black)(-4.2))^1)=(-7.56)/(-4.2)#

Simplify.

#n=(-7.56)/(-4.2)#

#n=1.8#

Answer 2 · 2018-03-05T04:34:59

See a solution process below:

First, add #color(red)(6.5)# to each side of the equation to isolate the #n# term while keeping the equation balanced:

#-4.2n - 6.5 + color(red)(6.5) = -14.06 + color(red)(6.5)#

#-4.2n - 0 = -7.56#

#-4.2n = -7.56#

Now, divide each side of the equation by #color(red)(-4.2)# to solve for #n# while keeping the equation balanced:

#(-4.2n)/color(red)(-4.2) = (-7.56)/color(red)(-4.2)#

#(color(red)(cancel(color(black)(-4.2)))n)/cancel(color(red)(-4.2)) = 1.8#

#n = 1.8#