To solve for p in the equation 4(p-2) = 2(p+5), we can start by distributing the 4 and 2 to the terms inside the parentheses.
4(p-2) = 2(p+5)
4p - 8 = 2p + 10
Next, let's simplify the equation by combining like terms:
4p - 2p = 10 + 8
2p = 18
To isolate p, we divide both sides of the equation by 2:
2p/2 = 18/2
p = 9
So the value of p that solves the equation is 9.