Final answer:
To simplify the expression (3(5p - 12) + 2(8p)), distribute the numbers and combine like terms to get the simplified expression 31p - 36.
Step-by-step explanation:
To simplify the expression (3(5p - 12) + 2(8p)), you need to apply the distributive property and combine like terms. First, distribute the 3 to the terms inside the parentheses: 3 * 5p = 15p and 3 * -12 = -36. Next, distribute the 2 to the terms inside the other parentheses: 2 * 8p = 16p. Now, combine the like terms: 15p - 36 + 16p. Finally, combine the p terms: 15p + 16p = 31p. Hence, the simplified expression is 31p - 36.
Learn more about Simplifying expressions with distributive property