Question 1050112
{{{10p-2(3p-6)=4(3p-6)-8p}}}
Distributive property
{{{10p-(2*3p-2*6)=(4*3p-4*6)-8p}}}
{{{10p-(6p-12)=(12p-24)-8p}}}
{{{10p-6p+12=12p-24-8p}}}
Gather like terms,
{{{4p+12=4p-24}}}
Subtract {{{4p}}} from both sides,
{{{12=-24}}}
Since this statement is false, there is no solution. 
In other words, no value for p will make this statement true.