Question 1172847
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We are given  {{{3*(4x + 5pi)}}} = P.


It is the same as  {{{12x + 15pi}}} = P.   (1)



Then  {{{6*(6x+ 10pi)}}} = 36x + {{{60pi}}} = regroup = 36x + {{{45pi}}} + {{{15pi}}} = {{{3*(12x + 15pi)}}} + {{{15pi}}} = 


    Now I replace  {{{(12x + 15pi)}}}  by  P,  based on (1), and continue the chain of equalities in this way


    = {{{3P + 15pi}}}.    Completed.



<U>ANSWER</U>.   Then  {{{6*(6x + 10pi)}}} = {{{3P + 15pi}}}.
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Solved.


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In short terms, &nbsp;I did &nbsp;THIS:


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    From the expression, which is under the question, I extracted the part, proportional to the <U>given</U> expression.


    Then I replaced this extracted part by the given value (symbol P, in this case).  The remaining addend was simply some constant.
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That's &nbsp;all.  &nbsp;&nbsp;It is small trick :), &nbsp;actually - - - to learn for beginners.