Solve for $$ u $$ $$ -\frac{12}{5}=-6 u $$

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UpStudy AI · Accepted Answer

To solve for $$ u $$ in the equation:

$$
-\frac{12}{5} = -6u
$$

follow these steps:

1. **Isolate $$ u $$:**  
   To solve for $$ u $$, divide both sides of the equation by $$-6$$:

$$
   u = \frac{-\frac{12}{5}}{-6}
   $$

2. **Simplify the right-hand side:**  
   Dividing two negative numbers gives a positive result. Also, $$\frac{12}{5}$$ divided by $$6$$ is the same as $$\frac{12}{5} \times \frac{1}{6}$$:

$$
   u = \frac{12}{5} \times \frac{1}{6} = \frac{12}{30}
   $$

3. **Reduce the fraction:**  
   Simplify $$\frac{12}{30}$$ by dividing both the numerator and the denominator by their greatest common divisor, which is $$6$$:

$$
   u = \frac{12 \div 6}{30 \div 6} = \frac{2}{5}
   $$

**Answer:**  
$$
u = \frac{2}{5}
$$
$$ u = \frac{2}{5} $$

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