Question 643178
{{{-11+10(p+10)=4-5(2p+11)}}} Start with the given equation.



{{{-11+10p+100=4-10p-55}}} Distribute.



{{{10p+89=4-10p-55}}} Combine like terms on the left side.



{{{10p+89=-10p-51}}} Combine like terms on the right side.



{{{10p=-10p-51-89}}} Subtract {{{89}}} from both sides.



{{{10p+10p=-51-89}}} Add {{{10p}}} to both sides.



{{{20p=-51-89}}} Combine like terms on the left side.



{{{20p=-140}}} Combine like terms on the right side.



{{{p=(-140)/(20)}}} Divide both sides by {{{20}}} to isolate {{{p}}}.



{{{p=-7}}} Reduce.



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Answer:


So the solution is {{{p=-7}}}