Let's simplify the given expression step by step: [tex]\(-5.8c + 4.2 - 3.1 + 1.4c\)[/tex].
1. Identify and Group Like Terms:
- The terms involving [tex]\(c\)[/tex] (the variable terms) are: [tex]\(-5.8c\)[/tex] and [tex]\(1.4c\)[/tex].
- The constant terms (without the variable) are: [tex]\(4.2\)[/tex] and [tex]\(-3.1\)[/tex].
2. Combine the Like Terms:
- Variable terms: [tex]\[-5.8c + 1.4c\][/tex]
Adding these together:
[tex]\[-5.8 + 1.4\][/tex]
This simplifies to:
[tex]\[-4.4\][/tex]
So, the combined variable term is:
[tex]\[-4.4c\][/tex]
- Constant terms: [tex]\[4.2 - 3.1\][/tex]
Adding these together:
[tex]\[4.2 - 3.1\][/tex]
This simplifies to:
[tex]\[1.1\][/tex]
So, the combined constant term is:
[tex]\[1.1\][/tex]
3. Write the Simplified Expression:
- Combining both the variable term and the constant term gives:
[tex]\[-4.4c + 1.1\][/tex]
Therefore, the simplified form of the expression [tex]\(-5.8c + 4.2 - 3.1 + 1.4c\)[/tex] is:
[tex]\[ -4.4c + 1.1 \][/tex]
