How do you solve #-9( 4.5c + 9.5) = 29.5#?

1 Answer
smendyka
Jan 15, 2018

See a solution process below:

Explanation:

First, expand the terms in parenthesis on the left side of the equation by multiplying each term within the parenthesis by the term outside the parenthesis:

#color(red)(-9)(4.5c + 9.5) = 29.5#

#(color(red)(-9) xx 4.5c) + (color(red)(-9) xx 9.5) = 29.5#

#-40.5c + (-85.5) = 29.5#

#-40.5c - 85.5 = 29.5#

Next. add #color(red)(85.5)# to each side of the equation to isolate the #c# term while keeping the equation balanced:

#-40.5c - 85.5 + color(red)(85.5) = 29.5 + color(red)(85.5)#

#-40.5c - 0 = 115#

#-40.5c = 115#

Now, divide each side of the equation by #color(red)(-40.5)# to solve for #c# while keeping the equation balanced:

#(-40.5c)/color(red)(-40.5) = 115/color(red)(-40.5)#

#(color(red)(cancel(color(black)(-40.5)))c)/cancel(color(red)(-40.5)) = 1150/color(red)(-405)#

#c = (5 xx 230)/color(red)(-(5 xx 81))#

#c = -230/81#

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