Question

simplify by combining like terms.

\\ -7.598c + 12.9c = \\

Explanation:

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"concepts_used": [
"Decimal Arithmetic",
"Signed Numbers"
],
"new_concepts": [
"Combining Like Terms"
],
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"Decimal Arithmetic",
"Signed Numbers",
"Combining Like Terms"
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}
</pre_analysis>

<reasoning>

Identify like terms

\[
-7.598c + 12.9c = (-7.598 + 12.9)c
\]

Perform decimal arithmetic

\[
12.900 - 7.598 = 5.302
\]

Combine terms

\[
5.302c
\]
</reasoning>

<answer>
Simplify by combining like terms.

\(-7.598c + 12.9c =\) <blank>\(5.302c\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Combining Like Terms"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
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"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
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"concepts_used": [
"Decimal Arithmetic",
"Signed Numbers"
],
"new_concepts": [
"Combining Like Terms"
],
"current_concepts": [
"Decimal Arithmetic",
"Signed Numbers",
"Combining Like Terms"
]
}
</pre_analysis>

<reasoning>

Identify like terms

\[
-7.598c + 12.9c = (-7.598 + 12.9)c
\]

Perform decimal arithmetic

\[
12.900 - 7.598 = 5.302
\]

Combine terms

\[
5.302c
\]
</reasoning>

<answer>
Simplify by combining like terms.

\(-7.598c + 12.9c =\) <blank>\(5.302c\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Combining Like Terms"
]
}
</post_analysis>