Question 714751
{{{7(p+3)-3p=5+6(p+5)-4p}}} Start with the given equation.



{{{7p+21-3p=5+6p+30-4p}}} Distribute.



{{{4p+21=5+6p+30-4p}}} Combine like terms on the left side.



{{{4p+21=2p+35}}} Combine like terms on the right side.



{{{4p=2p+35-21}}} Subtract {{{21}}} from both sides.



{{{4p-2p=35-21}}} Subtract {{{2p}}} from both sides.



{{{2p=35-21}}} Combine like terms on the left side.



{{{2p=14}}} Combine like terms on the right side.



{{{p=(14)/(2)}}} Divide both sides by {{{2}}} to isolate {{{p}}}.



{{{p=7}}} Reduce.



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Answer:


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