Answer:
8(5c - 2) + 7 is 40c - 9.
Explanation:
To expand and simplify the expression 8(5c - 2) + 7, we can follow the order of operations, which is often represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
1. Start by applying the distributive property, which means multiplying the number outside the parentheses (8) by each term inside the parentheses:
8 * 5c = 40c
8 * -2 = -16
Now, the expression becomes: 40c - 16 + 7.
2. Next, combine like terms:
-16 + 7 = -9
The expression simplifies further to: 40c - 9.
So, the expanded and simplified form of 8(5c - 2) + 7 is 40c - 9.