How do you solve #-4w=3w-7#?

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Answer 1 · 2017-02-15T13:36:36

See the entire solution process below:

Step 1) Subtract #color(red)(3w)# from each side of the equation to isolate the #w# term while keeping the equation balanced:

#-4w - color(red)(3w) = 3w - 7 - color(red)(3w)#

#(-4 - 3)w = 3w - color(red)(3w) - 7#

#-7w = 0 - 7#

#-7w = -7#

Step 2) Divide each side of the equation by #color(red)(-7)# to solve for #w# while keeping the equation balanced:

#(-7w)/color(red)(-7) = -7/color(red)(-7)#

#(color(red)(cancel(color(black)(-7)))w)/cancel(color(red)(-7)) = 1#

#w = 1#