To simplify the expression 2(-2- 4p) + 2(-2p -1), we follow these steps: First, we distribute the 2 in front of the first parentheses to each term inside: 2 * -2 gives -4, and 2 * -4p gives -8p. This results in -4 - 8p. Next, we distribute the 2 in front of the second parentheses: 2 * -2p gives -4p, and 2 * -1 gives -2. This results in -4p - 2. Now, we combine the two results: -4 - 8p - 4p - 2. Combining like terms, we first combine the constants: -4 - 2 gives -6. Then we combine the p terms: -8p - 4p gives -12p. Therefore, the final simplified expression is -6 - 12p.