How do you solve #6w = 7w - 8#?

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Answer 1 · 2017-09-05T00:53:28

See a solution process below:

First, subtract #color(red)(7w)# from each side of the equation to isolate the #w# term while keeping the equation balanced:

#-color(red)(7w) + 6w = -color(red)(7w) + 7w - 8#

#(-color(red)(7) + 6)w = 0 - 8#

#-1w = -8#

Now, multiply each side of the equation by #color(red)(-1)# to solve for #w# while keeping the equation balanced:

#color(red)(-1) xx -1w = color(red)(-1) xx -8#

#1w = 8#

#w = 8#