How do you solve #35= 5w + 7( w - 7)#?

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Answer 1 · 2018-07-08T16:41:50

#w=7#

#5w+7(w-7)=35#

Next, we can distribute the #7# to both terms in the parenthesis. We now have

#5w+7w-49=35#

We can combine our #w# terms to get

#12w-49=35#

Remember, we want to isolate the #w# term, so we can do this by adding #49# to both sides. We now have

#12w=84#

Our last step would be to divide both sides by #12#. As our final answer, we get

#w=7#

Hope this helps!

Answer 2 · 2018-07-08T16:43:03

#w=7#

Solve:

#35=5w+7(w-7)#

Expand.

#35=5w+7w-49#

Add #49# to both sides.

#49+35=5w+7w#

Simplify.

#84=12w#

Divide both sides by #12#.

#84/12=w#

Simplify.

#7=w#

Switch sides.

#w=7#