solve for c.

(3(c - 1) = 9)

(c = ?)

Question

solve for c.

(3(c - 1) = 9)

(c = ?)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Distributive Property", "Linear Equations", "One-Step Equations" ], "new_concepts": [], "current_concepts": [ "Distributive Property", "Linear Equations", "One-Step Equations" ] } ## Distribute the constant factor Using the *Distributive Property* and *Linear Equations* knowledge points $$ \begin{aligned} 3(c - 1) &= 9 \ 3c - 3 &= 9 \end{aligned} $$ ## Isolate the variable term Using the *One-Step Equations* and *Linear Equations* knowledge points $$ \begin{aligned} 3c - 3 + 3 &= 9 + 3 \ 3c &= 12 \end{aligned} $$ ## Solve for c Using the *One-Step Equations* and *Linear Equations* knowledge points $$ \begin{aligned} \frac{3c}{3} &= \frac{12}{3} \ c &= 4 \end{aligned} $$ Solve for c. $3(c - 1) = 9$ $c =$ 4 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Distribute the constant factor

Isolate the variable term

Solve for c

Answer: