Sure, I would be happy to help you with that!
We want to simplify the expression
[tex]\[
-(-9c - 0.8d - 1)
\][/tex]
by distributing the "-" sign outside the parentheses. Here’s how you can do it step-by-step:
### Step-by-Step Solution
1. Understand the Problem:
The problem involves distributing a negative sign across a set of terms within parentheses.
2. Identify the Terms Inside the Parentheses:
The terms inside the parentheses are:
[tex]\[
-9c, -0.8d, \text{ and } -1
\][/tex]
3. Apply the Distribution of the Negative Sign:
When you distribute the negative sign across the terms inside the parentheses, the sign of each term will change. Specifically, the negative sign will multiply each term inside the parentheses:
[tex]\[
-(-9c) - (-0.8d) - (-1)
\][/tex]
4. Simplify Each Term:
- [tex]\(-(-9c)\)[/tex] becomes [tex]\(9c\)[/tex]
- [tex]\(-(-0.8d)\)[/tex] becomes [tex]\(0.8d\)[/tex]
- [tex]\(-(-1)\)[/tex] becomes [tex]\(1\)[/tex]
5. Combine the Simplified Terms:
Put the terms together to write the simplified expression:
[tex]\[
9c + 0.8d + 1
\][/tex]
So, the equivalent expression by distributing the negative sign outside the parentheses is:
[tex]\[
9c + 0.8d + 1
\][/tex]
This is the simplified result.
