\(3p* (2+k) = 6p + 3pk\)
Subtract \(6 p + 3 pk\) from the both sides:
\(3p(2+k) -(6p+3pk) = 6p+3pk-(6p+3pk)\)
\(= 3pk(2+k) - 6p-3pk = 0\)
Factor \(3p(2+k) - 6p - 3k\)
Factor out common term \(3p\)
\(= 3p(k-k+2-2)\)
refine:
\(0 = 0\)
true for all \(p\)
hope this helps!