solve for (v).

-3(-4v+3)-4v=2(v-2)-1

simplify your answer as much as possible.

(v = )

Question

solve for (v).

-3(-4v+3)-4v=2(v-2)-1

simplify your answer as much as possible.

(v = )

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 Equation Solutions" ], "new_concepts": [], "current_concepts": [ "Distributive Property", "Linear Equation Solutions", "Solving for a Variable" ] } ## Apply the distributive property Using the *Distributive Property* knowledge point $$ \begin{aligned} -3(-4v + 3) - 4v &= 2(v - 2) - 1 \ 12v - 9 - 4v &= 2v - 4 - 1 \end{aligned} $$ ## Combine like terms on both sides Using the *Linear Equation Solutions* knowledge point $$ \begin{aligned} (12v - 4v) - 9 &= 2v - (4 + 1) \ 8v - 9 &= 2v - 5 \end{aligned} $$ ## Isolate the variable terms Using the *Linear Equation Solutions* knowledge point $$ \begin{aligned} 8v - 2v &= -5 + 9 \ 6v &= 4 \end{aligned} $$ ## Solve for v and simplify Using the *Linear Equation Solutions* knowledge point $$ \begin{aligned} v &= \frac{4}{6} \ v &= \frac{2}{3} \end{aligned} $$ Solve for $v$. $$-3(-4v+3)-4v=2(v-2)-1$$ Simplify your answer as much as possible. $v =$ $\frac{2}{3}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equation Solutions" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Apply the distributive property

Combine like terms on both sides

Isolate the variable terms

Solve for v and simplify

Answer: