How do you solve #-2.6q-33.7=84.1#?

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Answer 1 · 2017-05-30T17:59:45

See a solution process below:

Step 1) Add #color(red)(33.7)# to each side of the equation to isolate the #q# term while keeping the equation balanced:

#-2.6q - 33.7 + color(red)(33.7) = 84.1 + color(red)(33.7)#

#-2.6q - 0 = 117.8#

#-2.6q = 117.8#

Step 2) Divide each side of the equation by #color(red)(-2.6)# to solve for #q# while keeping the equation balanced:

#(-2.6q)/color(red)(-2.6) = 117.8/color(red)(-2.6)#

#(color(red)(cancel(color(black)(-2.6)))q)/cancel(color(red)(-2.6)) = -45.307# rounded to the nearest thousandth.

#q = -45.307# rounded to the nearest thousandth.