Question 197120
{{{(2/5)(15p-20)=-8p+3(p-6)}}} Start with the given equation.



{{{(2/5)(15p)-(2/5)(20)=-8p+3(p)+3(-6)}}} Distribute.



{{{6p-8=-8p+3p-18}}} Multiply.



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



{{{6p=-5p-18+8}}} Add {{{8}}} to both sides.



{{{6p+5p=-18+8}}} Add {{{5p}}} to both sides.



{{{11p=-18+8}}} Combine like terms on the left side.



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



{{{p=(-10)/(11)}}} Divide both sides by {{{11}}} to isolate {{{p}}}.



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Answer:


So the solution is {{{p=-10/11}}} which approximates to {{{p=-0.909}}}.