How do you solve #7w-5=36#?

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Answer 1 · 2016-12-26T15:32:46

#w = 41/7#

Step 1) Add #color(red)(5)# to each side of the equation to isolate the #w# term and keep the equation balanced:

#7w - 5 + color(red)(5) = 36 + color(red)(5)#

#7w - 0 = 41#

#7w = 41#

Step 2) Now we can divide each side of the equation by #color(blue)(7)# to solve for #w# while keeping the equation balanced:

#(7w)/color(blue)(7) = 41/color(blue)(7)#

#(color(blue)(cancel(color(black)(7)))w)/cancel(color(blue)(7)) = 41/color(blue)(7)#

#w = 41/7#