expand and fully simplify $3(w + 1) + 4(2w + 3)$

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Distributive Property", "Algebraic Expansion" ], "new_concepts": [], "current_concepts": [ "Distributive Property", "Algebraic Expansion", "Combining Like Terms" ] } ## Expand the terms using the distributive property $$ 3(w + 1) + 4(2w + 3) = 3w + 3 + 8w + 12 $$ ## Combine like terms $$ (3w + 8w) + (3 + 12) = 11w + 15 $$ $11w + 15$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Algebraic Expansion" ] }

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Explanation:

Expand the terms using the distributive property

Combine like terms

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