Question

Expression equivalent to 3p - (-4 - 2p) + 8p.

Answer 1

To simplify the given expression 3p - (-4 - 2p) + 8p, distribute the negative sign to the terms inside the parentheses, combine like terms, and add the constant terms. The equivalent expression is 13p + 4.

Step-by-step explanation:

To simplify the given expression, 3p - (-4 - 2p) + 8p, we follow the rules of arithmetic operations:

1. First, we distribute the negative sign to the terms inside the parentheses:
   -(-4 - 2p) = 4 + 2p
2. We then simplify the expression using the associative property of addition:
   3p + (4 + 2p) + 8p
3. Next, we combine like terms by adding the p terms:
   3p + 2p + 8p = 13p
4. Finally, we add the constant terms:
   4 + 13p = 13p + 4

Therefore, the given expression is equivalent to 13p + 4.