3. solve each equation below.

a. $4a + 5 = 2 - 2a + 3$

Question

3. solve each equation below.

a. $4a + 5 = 2 - 2a + 3$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Two-Step Equations", "Division Property of Equality" ], "new_concepts": [ "Multi-Step Equations", "Combining Like Terms" ], "current_concepts": [ "Two-Step Equations", "Division Property of Equality", "Multi-Step Equations", "Combining Like Terms" ] } ## Simplify the right side of the equation $$ \begin{aligned} 4a + 5 &= 2 - 2a + 3 \ 4a + 5 &= 5 - 2a \end{aligned} $$ ## Isolate the variable terms on one side $$ \begin{aligned} 4a + 5 + 2a &= 5 - 2a + 2a \ 6a + 5 &= 5 \end{aligned} $$ ## Solve for the variable a $$ \begin{aligned} 6a + 5 - 5 &= 5 - 5 \ 6a &= 0 \ a &= 0 \end{aligned} $$ $a = 0$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Multi-Step Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Simplify the right side of the equation

Isolate the variable terms on one side

Solve for the variable a

Answer: