Question 229251
{{{15p+p=7-12p}}}


Step 1.  Simplify the left side as


{{{16p=7-12p}}}


Step 2.  Add 12p to both sides of the equation


{{{16p+12p=7-12p+12p}}}


{{{28p=7}}}


Step 3.  Divide by 28 to both sides of the equation


{{{cross(28)*p/cross(28)=7/28}}}


{{{p=1/4}}}


Step 4.  Substitute {{{p=1/4}}} into original equation  {{{15p+p=7-12p}}}


{{{15*(1/4)+1/4=7-12(1/4)}}}


{{{16/4=7-3}}}


{{{4=4}}}


Step 5.  ANSWER:  The solution is {{{p=1/4}}}.


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J