SOLUTION: could you please explain to me how to solve this problem 2 over 5(15p-20)= negative 8p+3(p-6)

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Question 197120: could you please explain to me how to solve this problem 2 over 5(15p-20)= negative 8p+3(p-6)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2F5%29%2815p-20%29=-8p%2B3%28p-6%29 Start with the given equation.


%282%2F5%29%2815p%29-%282%2F5%29%2820%29=-8p%2B3%28p%29%2B3%28-6%29 Distribute.


6p-8=-8p%2B3p-18 Multiply.


6p-8=-5p-18 Combine like terms on the right side.


6p=-5p-18%2B8 Add 8 to both sides.


6p%2B5p=-18%2B8 Add 5p to both sides.


11p=-18%2B8 Combine like terms on the left side.


11p=-10 Combine like terms on the right side.


p=%28-10%29%2F%2811%29 Divide both sides by 11 to isolate p.


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Answer:

So the solution is p=-10%2F11 which approximates to p=-0.909.