solve for (w).

-\frac{5}{2} + \frac{4}{3}w = -\frac{6}{5}

simplify your answer as much as possible.

(w = \square)

Question

solve for (w).

-\frac{5}{2} + \frac{4}{3}w = -\frac{6}{5}

simplify your answer as much as possible.

(w = \square)

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 Equation Solutions", "Fraction Addition", "Fraction Subtraction" ], "new_concepts": [], "current_concepts": [ "Linear Equation Solutions", "Fraction Addition", "Fraction Subtraction", "Solving for a Variable" ] } ## Isolate the variable term Using the **Linear Equation Solutions** knowledge point $$ \begin{aligned} -\frac{5}{2} + \frac{4}{3}w &= -\frac{6}{5} \ \frac{4}{3}w &= -\frac{6}{5} + \frac{5}{2} \end{aligned} $$ ## Add the fractions on the right side Using the **Fraction Addition** knowledge point $$ \begin{aligned} \frac{4}{3}w &= -\frac{12}{10} + \frac{25}{10} \ \frac{4}{3}w &= \frac{13}{10} \end{aligned} $$ ## Solve for w Using the **Linear Equation Solutions** knowledge point $$ \begin{aligned} w &= \frac{13}{10} \cdot \frac{3}{4} \ w &= \frac{39}{40} \end{aligned} $$ Solve for $w$. $$-\frac{5}{2} + \frac{4}{3}w = -\frac{6}{5}$$ Simplify your answer as much as possible. $w =$ $\frac{39}{40}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equation Solutions" ] }

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QUESTION IMAGE

Question

Explanation:

Isolate the variable term

Add the fractions on the right side

Solve for w

Answer: