4|p-3| = |2p + 8|. First multiply 4 with p and -3. You’ll get 4p-12. You will now have 4p-12 = 2p+8. You have to switch -12 & 2p, but you have to switch the signs so -12 turns into +12 and 2p turns into -2p. 4p-2p = 8+12. This makes 2p=20. Your final answer will be p = 10.
