SOLUTION: solve -7(11-4w)-15w=-27-(50-13w) please show all work

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Question 476949: solve -7(11-4w)-15w=-27-(50-13w) please show all work
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-7%2811-4w%29-15w=-27-%2850-13w%29 Start with the given equation.


-77%2B28w-15w=-27-50%2B13w Distribute.


13w-77=-27-50%2B13w Combine like terms on the left side.


13w-77=13w-77 Combine like terms on the right side.


13w=13w-77%2B77 Add 77 to both sides.


13w-13w=-77%2B77 Subtract 13w from both sides.


0w=-77%2B77 Combine like terms on the left side.


0w=0 Combine like terms on the right side.


0=0 Simplify.


Since this equation is ALWAYS true for any w value, this means w can equal any number.


So there are an infinite number of solutions.