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solve for (r). \\\\frac{r}{-10} = -6\\ (r = \\)

Question

solve for (r).

\\\frac{r}{-10} = -6\\

(r = \\)

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"One-Step Equations",
"Solving for Variables"
],
"new_concepts": [],
"current_concepts": [
"One-Step Equations",
"Solving for Variables"
]
}
</pre_analysis>

<reasoning>

Write the given equation

\[
\frac{r}{-10} = -6
\]

Isolate the variable r

\[
r = -6 \cdot (-10)
\]

Simplify the expression

\[
r = 60
\]
</reasoning>

<answer>
Solve for \(r\).

\[\frac{r}{-10} = -6\]

\(r =\) <blank>60</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"One-Step Equations"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"One-Step Equations",
"Solving for Variables"
],
"new_concepts": [],
"current_concepts": [
"One-Step Equations",
"Solving for Variables"
]
}
</pre_analysis>

<reasoning>

Write the given equation

\[
\frac{r}{-10} = -6
\]

Isolate the variable r

\[
r = -6 \cdot (-10)
\]

Simplify the expression

\[
r = 60
\]
</reasoning>

<answer>
Solve for \(r\).

\[\frac{r}{-10} = -6\]

\(r =\) <blank>60</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"One-Step Equations"
]
}
</post_analysis>