`10-5\left(9n-9\right)`
To simplify the expression 10 - 5(9n - 9), we first distribute the -5 to each term inside the parentheses:
10 - 5(9n - 9) = 10 - 5 * 9n + 5 * 9
Next, we simplify the multiplication:
10 - 45n + 45
Finally, we combine like terms:
55 - 45n
So, the simplified expression is 55 - 45n.
To simplify the expression `10 - 5(9n - 9)`, we follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
1. Start by simplifying the expression inside the parentheses:
`9n - 9`
This expression can't be simplified further as it does not contain any like terms.
2. Now, distribute the `-5` to every term inside the parentheses:
`10 - 5(9n) + 5(9)`
Distributing:
`10 - 45n + 45`
3. Combine like terms:
`-45n + 55`
Since `-45n` and `55` are not like terms, no further simplification can be done.
Therefore, the simplified form of `10 - 5(9n - 9)` is `-45n + 55`.