How do you solve #0.1p - 0.2p + 2 =-4.6#?

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Answer 1 · 2017-03-07T14:56:40

See the entire solution process below:

First, subtract #color(red)(2)# from each side of the equation to isolate the #p# terms while keeping the equation balanced:

#0.1p - 0.2p + 2- color(red)(2) = -4.6 - color(red)(2)#

#0.1p - 0.2p + 0 = -6.6#

#0.1p - 0.2p = -6.6#

Next, combine like terms on the left side of the equation:

#(0.1 - 0.2)p = -6.6#

#-0.1p = -6.6#

Now, divide each side of the equation by #color(red)(-0.1)# to solve for #p# while keeping the equation balanced:

#(-0.1p)/color(red)(-0.1) = (-6.6)/color(red)(-0.1)#

#(color(red)(cancel(color(black)(-0.1)))p)/cancel(color(red)(-0.1)) = 66#

#p = 66#