solve for d.

(4 - 3d = d - 8)

(d = ?)

Question

solve for d.

(4 - 3d = d - 8)

(d = ?)

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": [ "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Algebraic Simplification" ] } ## Write down the equation Using the *Linear Equations* knowledge point $$ 4 - 3d = d - 8 $$ ## Group variable terms on one side Using the *Linear Equations* knowledge point $$ \begin{aligned} 4 - 3d + 3d &= d - 8 + 3d \ 4 &= 4d - 8 \end{aligned} $$ ## Isolate the variable term Using the *Linear Equations* knowledge point $$ \begin{aligned} 4 + 8 &= 4d - 8 + 8 \ 12 &= 4d \end{aligned} $$ ## Solve for d Using the *Linear Equations* knowledge point $$ \begin{aligned} \frac{12}{4} &= \frac{4d}{4} \ 3 &= d \end{aligned} $$ Solve for d. $4 - 3d = d - 8$ d = 3 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Write down the equation

Group variable terms on one side

Isolate the variable term

Solve for d

Answer: