following.
b) $4m - 3m + 2 = 5m - 28$

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Like Terms", "Algebraic Simplification" ], "new_concepts": [ "Linear Equations", "Solving Linear Equations" ], "current_concepts": [ "Like Terms", "Algebraic Simplification", "Linear Equations", "Solving Linear Equations" ] } ## Group like terms on each side of the equation $$ \begin{aligned} 4m - 3m + 2 &= 5m - 28 \ (4 - 3)m + 2 &= 5m - 28 \ m + 2 &= 5m - 28 \end{aligned} $$ ## Isolate the variable terms on one side $$ \begin{aligned} m - 5m &= -28 - 2 \ -4m &= -30 \end{aligned} $$ ## Solve for m $$ \begin{aligned} m &= \frac{-30}{-4} \ m &= \frac{15}{2} \ m &= 7.5 \end{aligned} $$ $m = 7.5$ (or $\frac{15}{2}$) { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Solving Linear Equations" ] }

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Question

Explanation:

Group like terms on each side of the equation

Isolate the variable terms on one side

Solve for m

Answer: