Solve for $$ u $$ $$ 6 u=-\frac{12}{7} $$

Question

UpStudy AI · Accepted Answer

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

$$
6 u = -\frac{12}{7}
$$

follow these steps:

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

$$
   u = \frac{-\frac{12}{7}}{6}
   $$

2. **Simplify the Right Side:**  
   Dividing by 6 is the same as multiplying by $$ \frac{1}{6} $$.

$$
   u = -\frac{12}{7} \times \frac{1}{6}
   $$

3. **Multiply the Fractions:**  
   Multiply the numerators together and the denominators together.

$$
   u = \frac{-12 \times 1}{7 \times 6} = \frac{-12}{42}
   $$

4. **Reduce the Fraction:**  
   Simplify $$ \frac{-12}{42} $$ by dividing both the numerator and the denominator by their greatest common divisor, which is 6.

$$
   u = \frac{-12 \div 6}{42 \div 6} = \frac{-2}{7}
   $$

**Final Answer:**

$$
u = -\frac{2}{7}
$$
$$ u = -\frac{2}{7} $$

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